Mathematics for Finance

$P 8,000/-$ at $10\%$ p.a. interest compounded half yearly will become at the end of one year

If $P 1,000$ be invested at interest rate of $5\%$ and the interest be added to the principal every $10$ years, then the number in years in which it will amount to $P 2,000$ is:

A person borrows $P 5,000$ for $2$ years at $4\%$ per annual simple interest. He immediately lends to another person at $6.25\%$ per annum for $2$ years find his gain in the transaction for year:

If an amount is kept at S. I. it earns an interest of $P 600$ in first two years but when kept at compound interest it earns an interest of $P 660$ for the same period, then the rate of interest and principal amount respectively are:

If $P 10,000$ is invested at $8\%$ p.a. compounded quarterly, then the value of the investment after $2$ years is. (Given $(1.02)^8 = 1.171659)$

A bank pays $10\%$ rate of interest compounded annually. A sum of $P 400$ is deposited in the bank. The amount at the end of $1$ year will be

A certain amount of money doubles itself in $10$ years when deposited on simple interest. It would triple itself in

A man deposited $P 8,000$ in a bank for $3$ years at $5\%$ per annum compound interest, after $3$ years he will get

If in two years' time a principal of $P 100$ amounts to $P 121$ when the interest at $r\%$ is compounded annually, then the value of $r$ is

A certain sum of money $Q$ was deposited for $5$ years and $4$ months at $4.5\%$ simple interest and amounted to $P 248$, then the value of $Q$ is

If compound interest on a sum for $2$ years at $4\%$ per annum is $P 102$, then the simple interest on the same sum for the same period at the same rate will be

If the difference between the compound interest compounded annually and simple interest on a certain amount at $10\%$ per annum for two years is $P 372$, then the principal amount is

The effective rate of interest for one year deposit corresponding to a nominal $7\%$ rate of interest per annum convertible quarterly is

How much will $P 25,000$ amount to in $2$ years at compound interest if the rates for the successive years are $4\%$ and $5\%$ per year

A man invests $P 12,000$ at $10\%$ p.a. and another sum of money at $20\%$ p.a. for one year. The total investment earns at $14\%$ p.a. simple interest the total investment is:

The difference in simple interest of a sum invested of $P 1,500$ for $3$ years is $P 18$. The difference in their rates is

Find the effective rate of interest on $P 10,000$ on which interest is payable half yearly at $5\%$ p.a.

Find the effective rate of interest at $10\%$ p.a. which interest is payable quarterly

What will be the population after $3$ years when present population is $P 25,000$ and population increases at the rate of $3\%$ in $1^{st}$ year, at $4\%$ in $2^{nd}$ year and $5\%$ in $3^{rd}$ year?

The value of scooter is $P 10,000$ find its value after $7$ years if rate of depreciation is $10\%$ p.a.

SI $= 0.125P$ at $10\%$ p.a. Find time.

Scrap value of a machine valued at $P 10,00,000$, after $10$ years within depreciation at $10\%$ p.a.:

The difference between CI and SI for $2$ years, is $P 21$. If rate of interest is $5\%$ find principal

On what sum will the compound interest at $5\%$ per annum for $2$ years compounded annually be $3,280$?

An amount $P$ becomes $5,100.5$ and $5,203$ after second and fourth years respectively at $1\%$ of interest per annum compounded annually. This value of $P$ and $R$ are

A certain sum invested at $4\%$ per annum compounded semi-annually amounts to $1,20,000$ at the end of one year. Find the sum:

Find the compound interest if an amount of $50,000$ is deposited in bank for one year at the rate of $8\%$ per annum compounded semi-annually.

An amount is lent at a nominal rate of $4.5\%$ per annum compounded quarterly. What would be the gain in rupees over when compounded annually?

What sum of money will produce $42,800$ as an interest in $3$ years and $3$ months at $2.5\%$ p.a. simple interest?

The ratio of principal and the compound interest value for three years (compounded annually) is $216:127$. The rate of interest is:

A certain sum amounted to $575$ at $5\%$ in a time in which $750$ amounted to $840$ at $4\%$. If the rate of interest is simple, find the sum -

Find the amount of compounded interest, if an amount of $50,000$ is deposited in a bank for one year at the rate of $8\%$ per annum compounded semiannually

The population of a town increase by $2\%$ of the population at the beginning of the year. The number of year by which the total increases in population would be $40\%$ is:

Two equal amounts of money are deposited in two banks each at $15\%$ p.a. $3.5$ year in the bank and for $5$ years in the other. The difference between the interest amount from the bank in $144$. Find the sum

The simple interest on sum at $4\%$ p.a. for $2$ years is $80$. Find the CI on the same sum for the same period.

Which is a better investment $9\%$ p.a. compounded quarterly or $9.1\%$ p.a. simple interest?

The effective rate of interest corresponding to a nominal rate of $7\%$ p.a. compounded quarterly

A man invested one-third of his capital at $7\%$, one fourth at $8\%$ and the remainder at $10\%$. If the annual income is $561$. The capital is -

A sum of money is lent at C.I. rate $20\%$ p.a. $2$ years. It would fetch $482$ more if the interest is compounded half yearly. The sum is:

The certain sum of money became $P 692$ in $2$ years and $P 800$ in $5$ years then the principal amount is

A sum was invested for $3$ years as per C.I. and the rate of interest for first year is $9\%$, $2^{nd}$ year is $6\%$ and $3^{rd}$ year is $3\%$ p.a. respectively. Find the sum if the amount in three years is $P 550$?

If $P = P 5,000$ $R = 15\%$ $T = 4 \frac{1}{2}$ years using $i = \frac{PTR}{100}$ then $I$ will be

The effective rate of interest does not depend upon

If $P = P 2,96$, and $R = 8\%$ compounded annually then $P =$

In SI if the principal is $P 2,000$ and the rate and time are the roots of the equation $x^2 - 11x + 30 = 0$ then SI is

A sum of $x$ amounts to $27,900$ in $3$ years and to $41,850$ in $6$ years at a certain rate percent per annum, when the interest is compounded yearly. The value of $x$ is:

Rahul invested $70,000$ in a bank at the rate of $6.5\%$ p.a. simple interest rate. He received $85,925$ after the end of term. Find out the period for which sum was invested by Rahul.

A company needs money to $10,000$ in five years to replace as equipment. How much (in $) should be invested now at an interest rate of $8\%$ p.a. is order to provide for this equipment?

R needs money to pay $5,00,000$ in $10$ years. He invested a sum in a scheme at $9\%$ rate of interest compounded half-yearly. How much amount (in $) he invested? $1.046^{20}=2.41171$

An amount is lent at $R\%$ simple interest for $R$ years and the simple interest amount was one-fourth of the principal amount. Then $R$ is

A sum of money is put at $20\%$ compound interest rate p.a. at which year the aggregated amount just exceeds the double of the original sum?

A machine worth $4,90,740$ is depreciated at $15\%$ on its opening value each year. When would its value reduce to $2,00,750$?

If $64$ amount to $83.20$ in $2$ years, what will $86$ amount to in $4$ years at the same Rate percent per annum?

A farmer borrowed $3,600$ at the rate of $15\%$ simple interest p.a. At the end of $4$ years, he cleared this account by paying $4,000$ and a cow. The cost of the cow is:

The effective annual rate of interest corresponding to a normal rate of $6\%$ per annum payable half yearly is:

Mr. Prakash invested money in two schemes 'A' and 'B' offering compound interest at the rate of $8\%$ and $9\%$ p.a. respectively. If the total amount of interest accrued through these two schemes together in two years was $4,816.30$ and total amount invested was $27,000$. What was the amount invested in schemes 'A'?

A sum of money invested compound interest double itself in four years. In how many years it become $32$ times of itself at the same rate of compound interest?

The difference between compound interest and simple interest on an amount of $15,000$ for $2$ years is $96$. What is the rate of interest p.a.?

A sum of money doubles itself in $4$ years at certain compound interest rate. In how many years this sum will become $8$ times at the same compound interest rate?

Mr. Ram invested a total of $1,00,000$ in two different banks for a fixed period. The first bank yields an interest of $9\%$ p.a. and second, $11\%$ per annum. If the total interest at the end of one year is $9.75\%$ p.a., there the amount invested in these banks are respectively:

The nominal rate of interest is $10\%$ per annum. The interest is compounded quarterly. The effective rate of interest per annum will be:

The difference between compound interest and simple interest on a certain sum of money invested for $3$ years at $6\%$ per annum is $110.16$. The principal is

A machine depreciates $10\%$ of its value at the beginning of the year. The cost and scrap value realized at the time of sale being $23,240$ and $9,000$ respectively. Approximately, for how many years the machine is put to use?

The population of a town increases every year by $2\%$ of the population at the beginning of that year. The approximate number of years by which the total increase of population will be $40\%$, is (Given $1.02^x = 1.17166$)

The compound interest on $15,625$ for $9$ months at $16\%$ per annum compounded quarterly is:

The compound interest on a certain sum is $200$ $209$ simple interest is $200$ for $2$ years. What is the rate per cent for $2$ years?

The effective rate of return for $24\%$ per annum convertible monthly is given as:

What is the compound interest (in $) on a sum of $12,600$ for $1.25$ years at $20\%$ per annum if the interest is compounded half yearly?

A sum of $7,500$ amounts to $9,075$ at $10\%$ p.a., interest being compounded yearly in a certain time. The simple interest on the same sum for the same time and the same rate is:

A certain sum amounts to $15,748$ in $3$ years at simple interest at $1\%$ p.a. The same sum amounts to $16,510$ at $r+2\%$ p.a. SI in the same time. What is the value of $r$?

In how much time a sum of amount doubles at simple interest at $12.5\%$ rate?

The effective rate of interest corresponding to a nominal rate of $7\%$ p.a. convertible quarterly.

Jonny wants to have $2,00,000$ in his saving account after three years. The rate of interest offered by bank is $8\%$ per annum compounded annually. How much should he invest today to achieve his target amount?

Jonny wants to have $2,00,000$ in his saving account after three year. The rate of interest offered by bank is $8\%$ per annum compounded annually. How much should he invest today to achieve his target amount?

What is the effective rate of interest when principal amount $50,000$ deposited in a nationalized bank for one year, corresponding to a nominal rate interest $8\%$ per annum compounded quarterly [$1.02^8 = 1.0824$]

Manoj invests $12,000$ at $6\%$ per annum simple interest to obtain a total amount of $14,880$. What is the time for which the amount was invested?

Mr. X makes a deposit of $50,000$ in the bank for a period $2.5$ years. If the rate of interest is $12\%$ per annum compounded half yearly, then the maturity value of the money deposited by Mr. X is: (where $(1.06)^5 = 1.3382$)

A machine costing $1,00,000$ has useful life of $10$ years. If the rate of depreciation is $12\%$ what is scrap value of the machine at the end of life? Given $(0.88)^{10} = 0.27850$

Compute the compound interest on $6,000$ for $1.25$ years at $8\%$ per annum. Interest will be compounded quarterly

The population of a city increases at the rate of $5\%$ every year. What will be the population of the city in the year $2023$, if its population in $2021$ was $1,00,000$?

Mr. XYZ invested $60,000$ in a nationalized bank in the form of fixed deposit at the rate of $7.5\%$ per annum simple interest rate. He received $83,500$ after the end of the term of fixed deposit. Calculate the period for which $60,000$ was invested in fixed deposit.

What is the effective rate of interest when principal amount of $50,000$ deposited in a nationalized bank for one year, corresponding to a nominal rate of interest $6\%$ per annum payable half yearly?

Kanta wants to accumulate $4,91,300$ in her savings account after three years. The rate of interest offered by bank is $6\%$ per annum compounded annually. How much amount should she invest today to achieve her target amount?

The sum required to earn a monthly interest of $1,200$ at $18\%$ per annum simple interest is:

The compound interest on $40,000$ at $12\%$ per annum compounded quarterly for $6$ months is:

At a certain rate of interest per annum, the difference between the compound interest and simple interest on $3,00,000$ for two years is $2,400$, then the rate of interest per annum is:

Mr. X makes a deposit of $12,000$ in a bank where the amount doubles at compound interest in $5$ years, then what will be the total amount he will have after twenty years?

A sum of money doubles itself at compound interest in $10$ years. In how many years will it become eight times

The time in which a sum of money will be doubled at $6\%$ compound interest compounded interest compounded interest compounded annually approximately.

A lent $6000$ to B for $2$ years and $1500$ to C for $4$ years and received total interest of $900$ from both. The rate of interest when simple interest method calculated.

If the difference between the interests received from two different banks on $5000$ for $2$ years is $50$ then the difference between this rates.

The simple interest of $P\%$ for $P$ years will be $P$ on a sum of:

Nominal rate of Interest $9.9\%$ p.a. If Interest is compounded monthly. What will be the effective rate of Interest? (Given $\left( \frac{4033}{4000} \right)^{12} = 1.1036$ )

A machine worth of $4,90,740$ is depreciated at $15\%$ on its opening value each year. When its value reduces to $2,00,000$.

If the interest rate on a loan is $1\%$ per month, the effective annual rate of interest is:

Ram borrowed $5,000$ at $12.5\%$ per annum compound interest. The money was repaid after $3$ years. The total interest paid by him approximately is $(1+0.125)^3 = 1.4238$

Find the effective rate of interest if an amount of $40,000$ deposited in a bank for $1$ year at the rate of $10\%$ compounded semi-annually

The value of a machine depreciates every year at the rate of $10\%$ per annum, on its value at the beginning of that year, if the present value of the machine is $72,900$, then machine's worth $3$ years ago was:

The value of a machine depreciates $12\%$ annually. If the present value of $68,150$ then its value in $3$ years ago was.

What principal will amount to $370$ in $6$ years at $8\%$ p.a. at simple interest

The effective rate of interest on an amount $25,000$ is deposited in a bank for one year at value of $6\%$ per annum compounded semi-annually is

A Sum of money doubles itself in $10$ years. The number of years it would be trebled itself is:

A certain money doubles itself in $10$ years when deposited on simple interest. It would triple itself in.

A man deposited $8,000$ in a bank for $3$ years at $5\%$ per annum compound interest, after $3$ years he will get

The effective rate of interest for one year corresponding to a nominal at $7\%$ rate of interest per annum convertible quarterly is

The population of a town increases every year by $2\%$ of the population beginning of that year. The number of years by which the total increase of population be $40\%$ is

Simple interest on $3500$ for $3$ years at $12\%$ per annum is

$1000$ is invested at annual rate of interest of $10\%$ p.a. The amount after two years if compounding is done annually is ________.

If a person invests $3,000$ in a three years' investment that pays $12\%$ per annum. Calculate the future value of the investment.

A person deposited a sum of $10,000$ in a bank. After $2$ years, he withdrew $4,000$ and at the end of $5$ years, he received an amount of $7,900$; then the rate of simple interest is:

A trust fund has invested $30,000$ in two different types of bonds which pays $5\%$ and $7\%$ interest respectively. Determine how much amount is invested in second type of bond if trust obtains an annual total interest of $1600$.

At six months intervals A deposited $1000$ in a savings account which credit interest at $10\%$ p.a., compounded semi-annually. The first deposit was made when A's son was $6$ months old and last deposit was made when his son turns $8$ years old. The money remained in the account and was given to the son on his $10^{th}$ birthday. How much did he receive? $(1.05)^{16} = 2.1829$

What is the effective rate of interest if the nominal rate $5\%$ p.a converted quarterly?

A sum of money doubles itself at compound interest in $10$ years. In how many years will it become eight times?

Certain sum of money borrowed at simple interest amount to Rs.$2688$ in three years and to $2784$ in four years at the rate p.a. equal to.

A sum of $46,875$ was lent out at simple interest and at the end of $1$ year $8$ months the total amount was $50,000$. Find the rate of interest percent per annum.

$A = 5,200, R = 5\%$ p.a., $T = 6$ years, $P$ will be

The time by which a sum of money would treble itself at $8\%$ p.a. C. I. is

A machine depreciates at $10\%$ of its value at the beginning of a year. The cost and scrap value realized at the time of sale being $23,240$ and $9,000$ respectively. For how many years the machine was put to use?

The compound interest on half-yearly rests on $10,000$ the rate for the first and second years being $6\%$ and for the third year $9\%$ p.a. is

The effective rate of interest corresponding to a nominal rate $3\%$ p.a payable half yearly is

A sum of money triples itself in $18$ years under simple interest, what is the rate of interest p.a.?

What time will be required for a sum of money to double itself at $8\%$ Simple interest?

The difference between simple interest and compound interest on a sum of $6,00,000$ for two years is $6000$. What is the annual rate of interest?

$10,000$ is invested at annual rate of interest of $10\%$ p.a. The amount after two years at annual compounding is

The annual birth rate and death rate per $1000$ are $39.4$ and $19.4$ respectively. The number of years in which population will be doubled assuming that there is no immigration or emigration approximately.

If the effective rate of interest is $11\%$ per annum and the interest is compounded quarterly, the nominal rate of interest per annum is

The difference between CI and SI on a certain money invested for three years at $6\%$ per annum is $110.16$. The sum is

What is the sum of money will amount to $1035.50$ in four years at compound interest for $1$st, $2$nd, $3$rd and $4$th years being $4\%$, $3\%$, $2\%$ and $1\%$ respectively?

A Machine was purchased for $10,000$. Its rate of depreciation is $10\%$ in the first year and $5\%$ per annum afterwards. Find the depreciated value of Machine after $7$ years of purchase.

What will be the population after three years when present population is $25,000$ and population increases at the rate $3\%$ in first year, $4\%$ in second year and $5\%$ in third year?

$SI = 0.125 P$ at $10\%$ p.a find the time

$8,000$ becomes $10,000$ in two years at simple interest. The amount that will become $6,875$ in $3$ years at the same rate of interest is:

The difference between the simple and compound interest on a certain sum for $3$ year at $5\%$ p.a. is $228.75$. The compound interest on the sum for $2$ years at $5\%$ p.a. is:

A sum of money doubles itself in $10$ years. The number of years it would treble itself is:

The effective rate equivalent to nominal rate of $6\%$ compounded monthly is:

A person borrows $5,000$ for $4$ years at $4\%$ p.a. simple interest. He immediately lends to another person at $6.25\%$ p.a. for $2$ years. Find his gain in the transaction per year:

The cost of machinery is $1,25,000/-$ if its useful life is estimated to be $20$ years and the rate of depreciation of its cost is $10\%$ p.a., then the scrap value of the Machinery is

If A person invests $5,000$ in a three years' investment that pays $12\%$ per annum. Calculate the future value of the investment.

Two equal sums were lent out at $7\%$ and $5\%$ simple interest respectively. The interest earned on the two loans adds up to $960$ for four years. Find the total sum lent out.

The annual birth and death rates per $1000$ are $39.4$ and $19.4$ respectively. The number of years in which the population will doubled assuming there is no immigration or emigration is:

The effective annual rate of interest corresponding to nominal rate $6\%$ p.a. payable half yearly is

The cost of machinery Rs.$1,25,000$ if its useful life estimated to the $20$ years and the rate of depreciation of its cost is $10\%$ p.a. Then scrap value of machinery is

If a SI on a sum of money at $6\%$ p.a for $7$ years is equal to twice of simple interest on another sum for $9$ years at $5\%$ p.a. The ratio will be

In what will be a sum of money double itself at $6.25\%$ p.a. Simple interest?

What will be population after $3$ years when present population is $25,000$ and population increase at the rate of $3\%$ in first year , at $4\%$ in second year and at $5\%$ in third year ?

A sum amount to Rs. $1331$ at a principal of Rs.$1000$ at $10\%$ CI. Find the time

The sum of money doubles itself in $10$ years. The number of years it would treble itself is:

Arun purchased a vacuum cleaner by giving $1700$ as cash down payment, which will be followed by five EMIs of $480$ each. The vacuum cleaner can also be bought by paying $3900$ cash. What is the approx. rate of interest p.a. (at simple interest) under this instalment plan?

If a sum triples itself in $15$ years at simple rate of interest, the rate of interest per annum will

What will be population after $3$ years when present population is $25,000$ and population increases at the rate of $3\%$ in $1$ year, at $4\%$ in $II$ year and $5\%$ in $III$ year?

He effective rate of interest equivalent to the nominal rate of $7\%$ converted monthly:

How much will be Rs.$25,000$ in $2$ years at compound interest if the rates for the successive years are at $4\%$ and $5\%$ per year

A sum of money gets doubled in $5$ years at $X\%$ simple interest. If the interest was $Y\%$, the sum of money would have become ten-fold in thirty years. What is $Y - X$ (in $%$)

A sum of money amounts to $20,800$ in $5$ years and $22720$ in $7$ years. Find the principle and rate of interest.

A sum of $46,875$ was lent out at simple interest and at the end of $1$ year $8$ months, the total amount was $50,000$. Find the rate of interest per annum.

A sum of money amount to $6,200$ in $2$ years and $7,400$ in $3$ years. The principal and rate

The simple interest on $600$ for 9 months is $27$. Find the interest rate.

The sum required to earn a monthly interest of Rs $1200$ at $18\%$ per annum Simple Interest is

The compound interest earned by a money lender on $7,000$ for $3$ years at the rate of interest for $3$ years are $7\%$, $8\%$ and $8.5\%$ is

A Maruti Zen cost $3,60,000$. Its price depreciates at the rate of $10\%$ p.a. during the first two years and at the rate of $20\%$ in third year. Also find the total depreciation.

In what time will be a sum of money doubles itself at $6.25\%$ p.a simple interest?

The difference between the simple and compound interest on a certain sum of $3$ years at $5\%$ p.a is $22.75$. The compound interest on the sum of for $2$ years at $5\%$ per annum is

How much time would the SI on a certain sum be $0.125$ times the principal at $10\%$ p.a.

The time in by which a sum of money is $8$ times of itself if it doubles itself in $15$ years interest compounded annually.

Present value of a scooter is $7,290$. Its value decreases every year by $10\%$ then the value before $3$ years is equal to

Find the effective rate of interest at $10\%$ p.a when the interest is payable quarterly.

The difference between in simple interest on a sum invested of $1500$ for $3$ years is $18$. The difference in their rate is

In how many years will a sum of money become double at $5\%$ p.a compound interest

What will be the population after $3$ years when present population is $25000$, if the population increases at the rate $3\%$ in I year, $4\%$ in II year and $5\%$ in III year.

If $10,000$ is invested at $8\%$ per annum, then compounded quarterly. Then value of investment after $2$ years is.

Find the effective rate of interest if an amount of $30,000$ deposited in a bank. For $1$ year at the rate of $10\%$ p.a. compounded semi-annually.

The present population of a town is $25,000$. If it grows at the rate of $4\%$, $5\%$, $8\%$ during $1^{st}$ year, $2^{nd}$ year, $3^{rd}$ year respectively. Then find the population after $3$ years.

The present value of a scooter is $7290$. The rate of depreciation is $10\%$. What was its value $3$ years ago?

The difference between simple interest and compound interest on a certain for $2$ years at $10\%$ p.a is $10$. Find the sum.

In how many years will a sum of money becomes four times at $12\%$ p.a. simple interest?

The effective rate of interest does not depend on

Find the effective rate of interest at $10\%$ p.a. When interest is payable quarterly.

In simple interest if the principle is $2,000$ and the rate and time are roots of the equation $x^2 - 11x + 30 = 0$

Rajesh deposits $3,000$ at the start of each quarter in his savings account. If the account earns interest of $5.75\%$ per annum compounded quarterly, how much money (in $) will he have at the end of $4$ years? [Given that $(1.014375)^{16} = 1.25654$]

The annual rate of simple interest is $12.5\%$. In how many years does principal doubles?

Certain sum of money borrowed at simple interest to $2688$ in three years and to $2784$ in four years at the rate per annum equal to -

An investment is earning compounded interest $100$ invested in the year $2$ accumulated to $105$ by year $4$. If $500$ is invested in the year $5$, will become $____$ by year $10$.

An investor is saving to pay off an obligation of $15,250$ which will due in seven years, if the investor is earning $7.5\%$ simple interest rate p.a., he must deposit to meet the obligation.

The value of the scooter is $1,00,000$ find its depreciation is $10\%$ p.a. Calculate depreciable value (WDV) at the end of seven years.

Effective rate of interest does not depend on

A man invests $12,000$ at $10\%$ p.a. and another sum of money at $20\%$ p.a. for one year. The total investment earns at $14\%$ p.a. simple interest the total investment is:

Find the effective rate of interest on $10,000$ on which CI is payable half yearly at $5\%$ p.a.

The value of scooter is $10,000$. Find its value after $7$ years if rate of depreciation is $10\%$ p.a.

The Difference between the CI and SI for $2$ years is $21$. If the rate of interest is $5\%$, the final principal is:

Mr. X lent some amount of money at $4\%$ S.I. and he obtained $520$ less than he lent in $5$ years. The sum lent is

$8,829$ is invested into three different sectors in such a way that their amounts at $4\%$ p.a. S.I. after $5$ years; $6$ and $8$ years are equal. Find each part of the sum.

$80,000$ is invested to earn a monthly interest of $1,200$ at the rate of ______ p.a. SI

A trust fund has invested $27000$ money in two schemes 'A' and 'B' offering compound interest at the rate of $8\%$ and $9\%$ per annum respectively. If the total amount of interest accrued through these two schemes together in two years was $4818.30$. What was the amount invested in schemes 'A'?

A sum of money invested of compound interest double itself in four years. In how many years it become $32$ times of itself at the same rate of compound interest.

The difference between compound interest and simple interest on an amount of $15,000$ for $2$ years is $96$. What is the rate of interest per annum?

Mr. A invested $X$ in an organization, it amounts to $150$ at $5\%$ p.a. S.I. and to $100$ at $3\%$ p.a. S.I. Then the value of $X$ is

Mrs. Sudha lent $4,000$ in such a way that some amount to Mr. A at $3\%$ p.a. S.I. and rest amount to B at $5\%$ p.a. S.I., the annual interest from both is $144$. Find the amount lent to Mr. A.

A certain sum of money becomes double at $5\%$ rate of S.I. p.a. in a certain time, the time in years is

A certain sum of money amounts to $5,000$ in $5$ years at $10\%$ p.a. In how many years will it amount to $6,000$ at same rate of S.I. p.a.

$1,25,000$ is borrowed at compound interest at the rate of $2\%$ for the $1$st year, $3\%$ for the $2$nd year and $4\%$ for the $3$rd year. Find the amount to be paid after $3$ years

A certain sum of money amounts to double in $5$ years placed at compound interest. In how many years will it amount to $16$ times at same rate of interest?

If the compound interest on a certain sum of money for $2$ years at $5\%$ p.a. be $50.44$, then the simple interest (S.I.) is

If the difference between C.I. and S.I on a certain sum of money at $5\%$ p.a. for $2$ years is $1.50$. Find the sum of money

The amount charged for a defined length of time for uses of principal, generally on year basis is known as

The sum required to earn a monthly interest of Rs.$1200$ at $18\%$ P.a Simple Interest is -

Sachin deposited Rs.$1,00,000$ in his bank for $2$ years at simple interest of $6\%$. How much interest would he earns? How much final value of deposit

The ratio of principal and the compounded interest value for three years (Compounded annually) is $216:127$. The rate of interest is

The Compounded interest Rs.$8000$ for $6$ months at $12\%$ p.a payable quarterly is

The annual birth and death rates per $1,000$ are $39.4$ and $19.4$ respectively. The number of years in which the population will be doubled assuming there is no immigration or emigration is

The SI on sum of money at $6\%$ p.a for 7 years is equal to twice of SI on another sum for 9 years at $5\%$ p.a. The ratio will be

Nominal Rate of Interest is $9.9\%$ p.a. If Interest is compounded monthly, what will be effective rate of Interest.

The population of a town increases by $2\%$ of the population at the beginning of the year. The number of years by which the total increases in population would be $40\%$ is

A sum of money invested in compounded interest doubles itself in four years. In how many years it becomes 32 times of itself as the same rate of compound interest?

A certain sum of money was put at S.I. for $2.5$ years at a certain rate of S.I. p.a. Had it been put at $4\%$ higher rate, it would have fetched $500$ more. Find the sum of money.

Rs.$1,25,000$ is borrowed at compound interest at the rate of $2\%$ for the 1st year, $3\%$ for the second year and $4\%$ for the 3rd year. Find the amount to be paid after 3 years.

If the Compound Interest on a certain sum of money for 2 years at $4\%$ p.a. be $510$, then its simple Interest (S.I.) of same time at same rate of interest is

How long will it take for a principal to double if money is worth $12\%$ compounded monthly?

The difference between compound interest and simple interest on a certain sum for 2 years @ $10\%$ p.a. is $100$. Find the sum:

If a simple interest on a sum of money at $6\%$ p.a. for 7 years is equal to twice of simple interest on another sum for 9 years at $5\%$ p.a. The ratio will be:

How much money is required to be invested every year as to accumulate Rs.$6,00,000$ at the end of 10 years, if interest is compounded annually at $10\%$ rate of interest?

The Scrap value of machine valued at Rs.$10,00,000$ after 15 years of depreciation is $10\%$ p.a.

The effective annual rate of interest corresponding to nominal rate $6\%$ p.a. payable quarterly is:

If the difference between the compound interest compounded annually and simple interest on a certain amount at $10\%$ per annum for two years is $372$, then the principal amount is.

What will be the population after 3 years , when present population is $1,00,000$ and the population increases at $3\%$ in 1st year, at $4\%$ in second year and at $5\%$ in third year

The value of furniture depreciates by $10\%$ a year, if the present value of the furniture in an office is $3870$, calculate the value of furniture 3 years ago:

A sum of money, lent out at simple interest, doubles itself in 8 years. Find in how many years will the sum become 3 times itself.

What annual payment will discharge a debt of $770$ due in 5 years, the rate of interest being $5\%$ per annum SI ?

Mr. X invests 'P' amount at Simple Interest rate $10\%$ and Mr. Y invests 'Q' amount at Compound Interest rate $5\%$ compounded annually. At the end of two years both get the same amount of interest, then the relation between two amounts P and Q is given by:

In what time will a sum of money double its y at $6.25\%$ p.a. simple interest?

In how many years will a sum of money double at $5\%$ p.a compounded interest?

A machine worth Rs. $4,90,740$ is depreciated at $15\%$ of its opening value each year. When its value reduces to Rs. $2,00,000$ it will take

A machine worth of Rs. $4,90,740$ is depreciated at $15\%$ on its opening value each year. When its value reduces to Rs. $2,00,000$ it will take

Nominal rate of interest $9.9\%$ p.a. If interest is compounded monthly. What will be the effective rate of Interest

The time in which a sum of money will be doubled at $6\%$ compound interest compounded annually approximately.

The Compound interest $8000$ for $6$ months at $12\%$ p.a payable quarterly is:

The simple interest on sum of money at $6\%$ p.a. for $7$ years is equal to twice of simple interest on another sum for $9$ years at $5\%$ p.a. The ratio will be:

If the interest rate on a loan at $1\%$ per month, the effective annual rate of interest is:

The simple interest on a certain sum of money is $\frac{1}{25}$ times of principal, the rate of interest when rate of interest and time are equal is

At what time a certain sum of money amounts to $400$ at $10\%$ p.a. S.I. and to $200$ at $4\%$ p.a. S.I.

$6,400$ amounts to $7840$ in two years at simple interest. How much will a sum of $84$ invested at the same rate of simple interest amount in four years?

Mr. X invest $10,000$ every year starting from today for next $10$ years suppose interest rate is $8\%$ per annual compounded annually. Calculate future value of the annuity.

How much amount is required to be invested every year so as to accumulate $3,00,000$ at the end of the $10$ years, if interest is compounded annually at $10\%$?

A man invests an amount of $15,860$ in the names of his three sons A, B and C in such a way that they get the same interest after $2, 3$ and $4$ years respectively. If the rate of interest is $5\%$ then the ratio of amount invested in the name of A, B and C is:

The value of furniture depreciates by $10\%$ a year, it the present value of the furniture in an office is $21,870$. Calculate the value of furniture $3$ years ago

Present value of a scooter is $₹ 7,290$ if its value decrease every year by $10\%$ then its value before $3$ years is equal to:

Find the future value of annuity of $₹ 1,000$ made annually for $7$ years at interest rate of $14\%$ compounded annually. Given that $(1.14)^7 = 2.5023$.

Find the present value of $₹ 1,00,000$ to be required after $5$ years if the interest rate be $9\%$. Given that $(1.09)^5 = 1.5386$.

A five year annuity due has periodic cash flow of $₹ 100$ each year. If the interest rate is $8\%$ the future value of this annuity is given by:

A person decides to invest $₹ 1,25,000$ per year for the next five years in an annuity which gives $5\%$ p.a. compounded annually. What is the approx. future value? $[(1.05)^5 = 1.2762]$

Which of the following statements is True? (assume that the yearly cash flow? Are identical for both annuities)

$₹ 2,500$ is paid every year for $10$ years to pay off a loan. What is the loan amount if interest rate be $14\%$ p.a. compounded annually?

Find the future value of annuity of $₹ 1,000$ made annually for $7$ year at interest rate of $14\%$ compounded annually

$₹ 800$ is invested at the end of each month in an account paying interest $5\%$ per year compounded monthly. What is the future value of this annuity after $10^{th}$ payment?

The present value of an annuity immediate is the same as

Mr. X wants to accumulate $₹ 50,00,000$ at the end of $10$ years. Then how much amount is required to be invested every year if interest is compounded annually at $10\%$? (Given that $P(10,0.10) = 15.9374298)$

The present value of an annuity of $₹ 25,000$ to be received after $10$ years at $6\%$ per annum compounded annually is

If the compound interest on a certain sum of money for $2$ years at $4\%$ p.a. be $510$, then its simple interest at same time at same rate of interest is

On what sum will the difference between the S.I. and C.I. for $3$ years at $6\%$ p.a. amount to $13.77$?

Let a person invest a fixed sum at the end of each month in an account paying interest $12\%$ per year compounded monthly. If the future value of this annuity after the $12^{th}$ payment is $₹ 55,000$ then the amount invested every month is?

If the desired future value after $5$ years with $18\%$ interest rate is $₹ 1,50,000$, then the present value (in $₹$) is

A loan of $₹ 1,02,000$ is to be paid back in two equal annual instalments. If the rate is $4\%$ p.a. compounded annually, then the total interest charged under this instalment plan is:

The future value of annuity of $₹ 2,000$ for $5$ years at $5\%$ compounded annually is given as:

$₹ 2500$ is paid every year for $10$ years to pay off a loan. What is the loan amount if interest rate be $14\%$ p.a. compounded annually?

A company establishes a sinking fund to provide for the payment $₹ 2,00,000$ debt maturity in $20$ years contribution to the fund are to be made at the end of every year. Find amount of each deposit if interest is $10\%$ p.a.?

How much amount is required to be invested every year so as to accumulate $₹ 5,00,000$ at the end of $12$ years if interest is compounded annually at $10\%$ p.a $(1.12, 0.1) = 21.384281$

$10$ Years ago the earning per share (EPS) of ABC Ltd. was $₹ 5$ share. Its EPS for this year is $₹ 20$. Compute at what rat, EPS of the company grow annually?

Raju invests $₹ 20,000$ every year in a deposit scheme starting from today for next $12$ years. Assuming that interest rate on this deposit is $7\%$ per annum compounded annually. What will be the future value of this annuity?

Mr. A invested $10,000$ every year for next $3$ years at the interest rate of $8$ percent per annum compounded annually. What is future value of the annuity?

$5,000$ is invested every month end in an account paying interest $@12\%$ per annum compounded monthly. What is the future value of this annuity just after making $41^{st}$ payment? (Given that $(1.01)^{41} = 1.501156$ )

Sinking fund factor is the reciprocal of:

Suppose you have decided to make a Systematic Investment Plan (SIP) in a mutual fund with $1,00,000$ every year from today for next $10$ years where you get return at the rate of $10\%$ per annum compounded annually. What is the future value of this annuity?

A company want to replace its existing tool room machine at the end of $10$ years, the expected cost of machine would be $10,00,000$. If management of the company creates a Sinking Fund, how much provision needs to be made out of revenue each year which can earn at the rate of $10\%$ compounded annually?

A car is available for $4,98,200$ cash payment or $60,000$ cash down payment followed by three equal annual instalments. If the rate of interest charged is $14\%$ per annum compounded yearly, then total interest charged in the instalment plan is (Given $P(2.0,14) = 2.32163$):

Govinda's mother decides to gift him $50,000$ every year starting from today for the next five years. Govinda deposits this amount in a bank as and when he receives and gets $10\%$ per annum interest rate, compounded annually. What is the present value of this annuity? Given $P(4,0.10) = 3.16987$.

How much amount is required to be invested every year so as to accumulate $50,000$ at the end of $10$ years, if the interest compounded annually at $10\%$. Given $A(10, 0.1) = 15.9374$

Suppose Mr. X invested $5,000$ every year starting from today in mutual fund for next $10$ years. Assuming that interest compounded annually is at $18\%$ p.a.. What is future value?

What will be the future value of an annuity of $2,500$ made annually for $12$ years at interest rate of $5\%$ compounded annually

Mrs. X invests in an annuity immediately that promises annual payments of $50,000$ for the next $16$ years. If the interest rate is $6\%$ compounded annually then the approximate present value of this annuity is

Calculate the present value of $2,000$ to be required after $10$ years compounded annually at $5\%$ per annum given $(1.05)^{10} = 1.62889$

If a loan of $30,000$ is to be paid in $5$ annual instalments with interest rate of $14\%$ per annum, then the equal annual instalment will be (take $P(5, 0.14) = 3.43308$)

Find the future value of an annuity of $5,000$ made annually for $6$ years at rate of $12\%$ compounded annually, if $(1+0.12)^6 = 1.9738$

What is the present value of an investment that pays $400$ at the end of three years and $500$ at the end of $6$ years?

At $8\%$ compounded annually, how long will it take $750$ to double?

You are considering two investments. Investment A yields $10\%$ compounded quarterly. Investment B yields $9\%$ compounded semi-annually. Both investments have equal annual yields. Find ?

What is the present value of $5,000$ to be obtained after six years if the interest rate is $5\%$ per annum? for $n=6, 7, 8, 9$ respectively. $\\frac{1}{(1.05)^n} = 0.74261, 0.71068, 0.67686, 0.64462$

Anshika took a loan of $₹ 1,00,000$ @ $8\%$ for $5$ years. What amount will she pay if she wants to pay the whole amount in five equal installments?

Ankit invests $₹ 3,000$ at the end of each quarter receiving interest @ $7\%$ p.a. for $5$ years. What amount will be receive at the end of the period?

A person invests in a fund that pays $4\%$ per annum for four years. The future value of current $4,000$ would be? use, if needed

What is the present value of $1000$ to be received after two years compounded annually at $10\%$ interest rate?

In an account paying interest $@9\%$ per year compounded monthly, $200$ is invested at the end of each month. What is the future value of this annuity after $10^{th}$ payment? (Where $(1.00/5)^{10} = 1.0775$ )

What is the annual contribution required by an organization to accumulate $20,00,000$ in ten years for the construction of a new manufacturing plant, utilizing a sinking fund with $8\%$ annual interest rate of $8\%$ compounded annually? (Where $A(10,0.06) = 13.180785$)

A loan of $16,550$ is to be paid in three equal annual instalments at compound interest. The value of annual instalment, if the rate of interest is $10\%$ per annum is:

Future value of Ordinary Annuity

Find the future value of annuity $1000$ made annually for $7$ years at interest rate of $14\%$ compounded annually is

$10,000$ is paid every year to off a loan, the loan amount if interest be $14\%$ per annum compounded annually is $[P(10, 0.14) = 5.21611]$

The present value of $1$ to be receive after $3$ year compounded annually at $11\%$ interest is

Suppose your father decides to gift you $5,000$ every year starts from today for the next four years. You deposit the amount is a bank and as and when you receive and get $10\%$ per annum interest rate compound annually. The present value of this annuity is $[P(3,0.10) = 2.48685]$

Find the Present value of $10,000$ to be required after $5$ years. If the interest be $9\%$

Rs.$500$ is invested is invested at the end of each month in an account paying interest $8\%$ per year compounded annually. The future value of annuity after $10$th payment is

The furniture depreciates by $10\%$ p.a. If the present value of the furniture in office is $21870$, calculate the value of furniture $3$ years ago.

Find the future value of an annuity of $500$ made annually for $7$ years at interest rate of $14\%$ per annum $[Given \text{ the } (1.14)^7 = 2.5023]$

$200$ invested at the end of each month in an account paying interest $6\%$ per year compounded monthly. What is the future value of this annuity after $10$th payment?

Suppose your father decides to gift you $10,000$ every year starting from today for the next five years, you deposit this amount in a bank as and when you receive and get $10\%$ p.a. C.I. What is the present value of this annuity?

Y bought Motor Bike Costing $80,000$ by making down payment of $30,000$ and agreeing to make annual payment for four years. How much would be each payment if the interest on unpaid amount be $14\%$ compounded annually.

Anil bought a motor cycle costing $1,30,000$ by making a down payment of $30,000$ and agreeing to make equal annual payment for five years. How much would be each payment if the interest on unpaid amount be $10\%$ compounded annually? $[P(5, 0.10) = 3.7908]$.

Shoba borrows $50,00,000$ to buy a house. If he pays equal instalments for $20$ years and $10\%$ interest on outstanding balance, what will be the equal annual instalment?

An asset of $50,000$ to be paid back in equal annual installments over a period of $20$ years. Find the value of installment, if interest is compounded annually at $14\%$ per annum. $[Given \ (1.14)^{20} = 13.74349]$

A machine costs $1,00,000$. The depreciation rate is $10\%$ per annum. The scrap value of the machine at the end of $5$ years is

X bought a TV costing $25,000$ making down payment of $5000$ and agreeing to make equal annual payment for four years. How much would be each payment if the interest on unpaid amount be $14\%$ compounded annually?

The future value of annuity on $5000$ a year for $7$ years at $14\%$ per annum compounded interest is

$5000$ paid for ten years to off a loan. What is the loan amount if interest rate be $14\%$ per annum compounded annually? $[Given \ P(10, 0.14) = 5.2161]$

Suppose your friend decided gift to you $10000$ every year starting from today for the next five years. Your deposit this amount in a bank and when you receive and get $10\%$ per annum interest compounded annually. What is the present value of this annuity?

A person invests $500$ at the end of each year with a bank which pays interest at $10\%$ p.a C.I. annually. The amount standing to his credit one year after he has made his yearly investment for the $12^{th}$ time is, Given $(1.1)^{12} = 3.1384$.

The present value of $10,000$ due in $2$ years at $5\%$ p.a. compound interest when the interest is paid on half-yearly basis is

Find the present value of $10,000$ to be required after $5$ years, if the interest rate be $9$ per cent compounded annually.

A man borrows $4000$ from a bank at $10\%$ compound interest. At the end of every year $1500$ as part of repayment of loan and interest. How much is still owe to the bank after three such installments.

A man purchased a house valued at $3,00,000$. He paid $2,00,000$ at the time of purchase and agreed to pay the balance with interest at $12\%$ per annum compounded half yearly in $20$ equal half yearly instalments. If the first instalment is paid after six months from the date of purchase then the amount of each instalment is.

The future value of annuity of $1,000$, made annually for $5$ years at the interest of $14\%$ compounded annually is $[(1.14)^5 = 1.925410]$

Future value of an ordinary annuity

Antil bought a motor cycle costing $1,50,000$ by making a down payment of $50,000$ and agreeing to make equal annual payment for five years. How much would be each payment if the interest on unpaid amounts be $10\%$ compounded annually? $[P(5,0.10) = 3.79079]$

Shoba borrows $50,00,000$ to buy a house. If he pays equal installments for $20$ years and $10\%$ interest on outstanding balance, what will be the equal annual installment? $[P(20,0.10) = 8.51356]$

How much money is to be invested every year so to accumulate $3,00,000$ at the end of $10$ years if interest is compounded annually at $10\%$ rate of interest?

Find the present value of an ordinary annuity of $8$ quarterly payments of $500$ each, the rate of interest being $8\%$ p.a. compounded quarterly

How much amount is required to be invested every year so as to accumulate $5,00,000$ at the end of $12$ years, if interest is compounded annually at $12\% (0.12)$. $[1.384288]$

Raju invests $20,000$ every year in a deposit scheme starting from today for next $12$ years. Assuming that interest rate on his deposit is $7\%$ per annum compounded annually. What will be the future value of this annuity?

Mr. A invested $20,000$ p.a. for next $3$ years at the interest rate of $8$ percent p.a. compounded annually. What is future value of the annuity?

$10,000$ is invested every month and in an account paying interest $@12\%$ per annum compounded monthly. What is the future value of this annuity just after making $11^{th}$ payment

Find the present value of an annuity which pays $200$ at the end of each $3$ months for $10$ years assuming $8\%$ p.a. $5\%$ converted quarterly.

The amount of an annuity due consisting of $15$ annual payments invested at $8\%$ effective is $10,000$. Find the size of each payment:

The future value of an annuity of $5,000$ is made annually for $8$ years at interest rate of $9\%$ compounded annually. $[(1.09)^8 = 1.99256]$

Paul borrows $20,000$ on condition to repay it with compound interest at $5\%$ p.a. in annual installment of $2,000$ each. Find the number of years in which the debt would be paid off:

A debt of $5000$ with interest at the rate of $8\%$ compounded quarterly is to be discharged by $8$ equal quarterly payments, the first payment being due today. Find the size of each payment.

Find the future value of an annuity of $500$ is made annually for $7$ years at interest rate of $14\%$ compounded annually. $[(1.14)^7 = 2.5023]$

How much amount is required to be invested every year as to accumulate $6,00,000$ at the end of $10^{th}$ year, if interest is compounded annually at $10\%$ rate of interest?

The future value of an annuity of $1500$ made annually for $5$ years at an interest rate of $10\%$ compounded annually is

Find the present value of an annuity of $1,000$ payable at the end of each year for $10$ years. If rate of interest is $6\%$ compounding per annum.

Mr. A borrows $5,00,000$ to buy a house. If he pays equal instalments for $20$ years and $10\%$ interest on outstanding balance what will be the equal annual instalment?

Determine the present value of perpetuity of $50,000$ per month @ rate of interest $12\%$ p.a. is

A stock pays annually an amount of $10$ from $6^{th}$ year onwards. What is the present value of the perpetuity if the rate of return is $20\%$?

Assuming that the discount rate is $7\%$ p.a. how much would pay to receive $200$ growing at $5\%$ annually forever?

Ms. Paul invested $1,00,000$ in a mutual fund scheme in January $2018$. After one year in January $2019$, she got a dividend amounting to $10,000$ for first year, $12,000$ for second year, $16,000$ for third year, $18,000$ for fourth year and $21,000$ for fifth year in January $2023$. What is Compounded Annual Growth Rate (CAGR) of dividend return? Given $1.2038^2 = 2.1$.

If the discount rate is $10\%$ per annum, how much amount would you pay to receive $2,500$ growing at $8\%$ annually forever?

Mr. Sharad got his retirement benefits amounting to $50,00,000$. He want to receive a fixed monthly sum of amount for his rest of life, starting after one month and thereafter he want to pass on the same to future generation. He expects to earn an interest of $9\%$ CI Annually. Determine how much perpetual payment he will receive every month?

Find the present value of an annuity which pays $200$ at the end of each $3$ months for $10$ years assuming money to be worth $5\%$ converted quarterly?

Arslan invested $10,000$ at $8\%$ per annum compound quarterly, then the value of the investment after $2$ years is

The future value of an annuity of $1,000$ made annually for $5$ years at the interest of $14\%$ compounded annually is:

Present value of a scooter is $7,290$ if its value decreases every year by $10\%$ then its value before $3$ years is equal to:

How much amount is required to be invested every year so as to accumulate $5,00,000$ at the end of $10$ years, if CI is annually at $10\%$?

The time by which a sum of money is $8$ times of itself if it doubles itself in $15$ years.

A sinking fund is created for redeeming debentures worth Rs. $5,00,000$ at the end of $25$ years. How much provision need to be made out of profits each year provided sinking fund investments can earn at $4\%$ per annum

Mr. X bought an electronic item for $1000$. What would be the future value of the same item after two years, if the value is compounded semi-annually at the rate of $22\%$ per annum?

The present value of an annuity which pays $200$ at the end of each $3$ months for $10$ years, assuming money to be worth $5\%$ converted quarterly.

A company establishes a sinking fund to provide for the payment of $2,00,000$ debt maturing in $20$ years. Contributions to the fund are to be made at the end of every year. Find the amount of each annual deposit if interest is $8\%$ per annum

What is the net present value of piece of property which would be valued at $2$ lakh at the end of $2$ years? (Annual rate of increase $= 5\%$)

If discount rate is $14\%$ per annum, then how much a company has to pay to receive $280$ growing at $9\%$ annually forever?

If the nominal rate of growth is $17\%$ and inflation is $9\%$ for the five years. Let P be the Gross Domestic Product (GDP) amount at the present year then the projected real GDP after $6$ years is:

If a person bought a house by paying $45,000.00$ down payment and $80,000$ at the end of each year till the perpetuity. Assuming the rate of interest as $16\%$, the present value of house (in $) is given as:

Operating profit of a manufacturer for five yearsYearsOperating profit (in lakh $)19021003106.44107.45120.246157.34Then the operating profit of Compound Annual Growth Rate (CAGR) for year 6 with respect to year 2 is given that:

If the cost of capital be $12\%$ per annual, then the net present value from given cash flow:YearsOperating profit (in thousands $)0-100160250350

Assuming that the discount rate is $7\%$ p.a. How much would you pay to receive $200$, growing at $5\%$ annually forever?

The CAGR of a initial value of a investment of $15,000$ and final value of $25,000$ in $3$ years is:

A person wants to open a shop have two options to acquire a commercial space either by leasing for $10$ years at annual rent of $2,00,000$ or by purchasing the space for $22,00,000$. If person can borrow money at $14\%$ compounded per annum. Which alternate is most suitable?

The Earning Per Share (EPS) of a company for five years is given below:YearEPS201940202025202140202240202390Calculate the Compounded Annual Growth Rate (CAGR) of EPS

A Perpetuity has a cash flow of $625$ and a required rate of return of $8\%$. If the cash flow is expected to grow at a constant rate of $4\%$ per year, then the intrinsic value of this perpetuity (present value of growing perpetuity) is:

An investor intends to purchase a three year $1,000$ per value bond having nominal interest rate of $10\%$. Aat what price the bond may be purchased now if it matures at par and the investor requires a rate of return of $12\%$?

A company is considering proposal of purchasing a machine either by making full payment of $4,000$ or by leasing it for $4$ years at an annual rent of $1250$. Which course of action is preferable if the company can borrow money at $14\%$ per annum? [Given: $(1.14)^4 = 1.6870$ ]

money at $14\%$ compounded annually? [ $P(4,0.14) = 2.9137$ ]

A $1,000$ bond paying annual dividends at $8.5\%$ will be redeemed at par at the end of $10$ years. Find the purchase price of this bond if the investor wishes a yield rate of $8\%$.

Nominal Rate of Return =

Net Present Value $> 0$, then

Net Present Value (NPV)

If the cost of capital be $12\%$ per annum, then the Net Present Value (in nearest Rs.) from the given cash flow is given as (in thousands)Year: 0, 1, 2, 3Operating profit: (100), 60, 40, 50

Find CAGR, if the operating profit of a manufacturer for five years is given asYr.: 1, 2, 3, 4, 5, 6OP: 90, 100, 106.4, 107.14, 120.24, 157.35

The nominal rate of growth is $17\%$ and inflation is $9\%$ for the five years. Let $P$ be the Gross Domestic Product (GDP) amount at the present year then the projected real GDP after $6$ years is

A person desires to create a fund to be invested at $10\%$ CI per annum to provide for a prize of $300$ every year. Using $V = a/i$ find $V$ and $V$ will be

A company is considering proposal of purchasing a machine either by making full payment of $4,000$ or by leasing it for four years at an annual rate of $1,250$. Which course of action is preferable if the company can borrow

A machine can be purchased for $50,000$. Machine will contribute $12,000$ per year for the next five years. Assume borrowing cost is $10\%$ per annum. Determine whether machine should be purchased or not? $P(5,0.10) = 3.79079$

A person desires to create a fund to be invested at $10\%$ CI per annum to provide for a prize of $300$ every year. Using $V = a/i$ find $V$

Determine the present value of perpetuity of $50,000$ per month at the rate interest $12\%$ p.a.

Assuming that the discount rate is $7\%$ p.a. How much would you pay to receive $500$. Growing at $5\%$ annually forever?

Ravi made an investment of $15,000$ in a scheme and at the time of maturity, the amount was $25,000$. If the Compound Annual Growth Rate (CAGR) for this investment is $8.88\%$. Calculate the approximate number of years for which he has invested the amount.

If the initial investment of $4,00,000$ becomes $6,00,000$ in $24$ months, then CAGR is

Assuming that the discount rate is $12\%$ per annum, how much would you pay to get $100$ per year, growing at $4\%$ annually forever?

You bought a painting $10$ years ago an investment. You originally paid $85,000$ for it. If you sold it for $4,84,050$, what was your annual return on investment?

10 years ago the earning per share (EPS) of ABC Ltd. was $5$ share its EPS for this year is $22$. Compute at what rate, EPS of the company grow annually?

A company is considering proposal of purchasing a machine full payment of $4000$ or by leasing it for $4$ years at an annual rent of $1280$. Which course of action is preferable if the company can borrow money at $14\%$ compounded annually?

Find the purchase price of a $1000$ bond redeemable all the paring annual dividends at $4\%$ if the yield rate is to be $5\%$ effective.

A stock pays annually an amount of Rs. $10$ from $6^{th}$ year onwards. What is the present value of perpetuity, if the rate of return is $20\%$.

If the nominal rate of growth is $17\%$ and inflation is $9\%$ for the five years. Let $P$ be the Gross Domestic Product (GDP) amount at the present year then the projected real GDP after $6$ years is

If discounted rate is $14\%$ per annum, then how much company has to receive Rs.$280$ growing at $9\%$ annually forever?

A machine can be purchased for $50,000$. Machine will contribute $12000$ per year for the next five years. Assume borrowing cost is $10\%$ per annum compounded annually. Determine whether machine should be purchased or not.

A $1000$ bond paying annual dividends at $8.5\%$ will be redeemed at par at the end of $10$ years. Find the purchase price of this bond if the investor wishes a yield rate of $8\%$.

Assuming that the discount rate is $10\%$ per annum, how much would you pay to receive $800$, growing at $8\%$ annually, forever?

$In ______ receipts / payments takes place forever.$

Net Present value $\ge 0$, then

Assuming, that discount rate is $7\%$ per annum, how much would you pay to receive Rs.$50$, growing at $5\%$, annually, forever.

The value of the present value of a sequence of payments of $\text{Rs }80$ made at the end of each $6$ months and continuity forever, if money is worth $4\%$ compounded semi-annually is

The effective rate of interest for one-year deposit corresponding to a nominal $7\%$ rate of interest per annum convertible quarterly is

The difference between Compound Interest and Simple Interest on a certain sum for $2$ years at $6\%$ p.a. is $13.50$. Find the sum

The difference in simple interest of a sum invested of $1,500$ for $3$ years is $18$. The difference in their rates is:

A man invests an amount of $15,860$ in the names of his three sons A, B and C in such a way that they get the same interest after $2,3$ and $4$ years respectively. If the rate of interest is $5\%$, then the ratio of amount invested in the name of A, B and C is.

A person gave a loan of $200$ to Mr. X and recovered it at the rate of $35$ for eight months, commencing from the end of first month. What is the effective rate of simple interest?

A sinking fund is created to redeem debentures worth $5,00,000$ at the end of $25$ years. How much provision each need to be made out of profits each year provided sinking fund investments can earn at $4\%$ per annum

The present value of an annuity of $80$ for $20$ years at $5\%$ p.a. is $[Given \ (1.05)^{20} = 2.6533]$

A machine can be purchased for $50,000$. Machine will be contributing $12,000$ per year for the next five years. Assuming borrowing cost is $10\%$ per annum. Determine whether machine should be purchased or not

A company is considering proposal of purchasing a machine either by making full payment of $4000$ or by leasing it for four years at an annual rent of $1250$. Which course of action is preferable if the company can borrow money at $14\%$ compounded annually? [$P(4,0.14) = 2.9137$]

What will be the population after $3$ years when the present population is $25,000$ & population increases at the rate of $3\%$ in $1$st year, at $4\%$ in, $2$nd year and in $5\%$ in $3$rd year?

The Partners A & B together lent $3903$ at $4\%$ p.a interest compounded annually. After a span of $7$ years A gets the same amount as B gets after $9$ years. The share of A is sum of $3903$ would have been

Suppose your mom decides to gift you $10,000$ every year starting from today for the next $16$ years. You deposit this amount in a bank account and you receive $8\%$ p.a. interest rate compounded annually. What is the present value of this money: (Given that $P(15, 0.085) = 8.304236$)

A machine with useful life of $7$ years costs $10,000$ while another machine with useful life of $5$ years costs $8,000$. The first machine saves labour expenses of $1,900$ annually and the second one saves labour expenses of $2,200$ annually. Determine the preferred course of action. Assume cost of borrowing as $10\%$ compounded per annum.

The rate of interest for the first $2$ year is $3\%$ per annum, for next $3$ years is $8\%$ per annum and for the period beyond $5$ years, $10\%$ per annum. If a man gets $1520$ as a simple interest for $6$ years, how much money did he deposit?

Miss Liza lent $4,000$ in such a way that some amount was given to Mr. A at $3\%$ p.a. S.I. and rest amount to was given to B at $5\%$ p.a. S.I., the annual interest from both is $144$. Find the amount lent to Mr. A.

A person bought a house paying $20,000$ cash down and $4,000$ at the end of each year for $25$ yrs. at $5\%$ p.a. C.I. The cash down price is

A sum of money amount to $P 6,200$ in $2$ years and $P 7,400$ in $3$ years as per S.I. then the principal is

What '$I$' denote the actual rate of interest in decimal, and '$n$' denote the number of conversion periods, the formula for computing the effective rate of interest $E$ is given by.

What is the difference (in $) between the simple interest and the compound interest on a sum of $8,000$ for $2\frac{1}{2}$ years at the rate of $10\%$ p.a. when the interest is compounded yearly?

An amount $4,500$ becomes $7,200$ in $2$ years at simple interest rate of:

The difference between the compound interest amount and the simple interest amount for a period of two years, at same interest rate $r$ is

The annual birth rates per $1,000$ are $39.4$ and $19.4$ respectively. The number of years which the population will be doubled assuming there is no immigration or emigration is

$₹ 200$ is invested at the end of each month in an account paying interest $6\%$ per year compounded monthly. What is the future value of this annuity after $10^{th}$ payment?

ABC Ltd. Wants to lease out an asset costing $3,60,000$ for a five year period. It has a fixed rental of $1,05,000$, per annum payable annually starting from the end of first year. Suppose rate of interest is $14\%$ per annum compounded annually on which money can be invested by the company. Is this agreement favourable to the company.