Ratio, Proportion, Indices, LogarithmsPYQ May 25Question 4300 of 220
All Questions

A startup business was initiated by an entrepreneur by investing ₹ 1,40,000. His friend joined him after six months with an amount of ₹ 2,10,000. Thereafter an angel investor joined them with ₹ 2,80,000 after another six months. What should be the ratio of distribution of total earnings, three years since beginning of business among entrepreneur, his friend and angel investor?

Options

A7:6:10
B12:15:16
C42:45:56
D2:3:4
For any discrepancies in this question, email contact@cadada.in

Correct Answer

✅ Option b — 12:15:16

All Options:

  • A7:6:10
  • B12:15:16
  • C42:45:56
  • D2:3:4

Detailed Solution & Explanation

To find the ratio of distribution of total earnings, we need to calculate the ratio of the product of the investment and the duration of the investment for each person.
Let the duration of the business be 3 years, which is equivalent to 36 months.
1. **Entrepreneur's investment details**:
Investment amount = ₹1,40,000\displaystyle ₹ 1,40,000
Duration = 36 months\displaystyle 36 \text{ months}
Product of investment and time = 1,40,000×36\displaystyle 1,40,000 \times 36

2. **Friend's investment details**:
The friend joined after 6 months. Therefore, the duration of the investment is:
36−6=30 months36 - 6 = 30 \text{ months}
Investment amount = ₹2,10,000\displaystyle ₹ 2,10,000
Product of investment and time = 2,10,000×30\displaystyle 2,10,000 \times 30

3. **Angel Investor's investment details**:
The angel investor joined after another 6 months (i.e., 12 months from the beginning). Therefore, the duration of the investment is:
36−12=24 months36 - 12 = 24 \text{ months}
Investment amount = ₹2,80,000\displaystyle ₹ 2,80,000
Product of investment and time = 2,80,000×24\displaystyle 2,80,000 \times 24

Now, let's find the ratio of distribution of earnings:
Ratio=(1,40,000×36):(2,10,000×30):(2,80,000×24)\text{Ratio} = (1,40,000 \times 36) : (2,10,000 \times 30) : (2,80,000 \times 24)
Dividing each term by 10,000\displaystyle 10,000, we get:
(14×36):(21×30):(28×24)(14 \times 36) : (21 \times 30) : (28 \times 24)
Dividing by 7\displaystyle 7 (since 14\displaystyle 14, 21\displaystyle 21, and 28\displaystyle 28 are multiples of 7\displaystyle 7):
(2×36):(3×30):(4×24)(2 \times 36) : (3 \times 30) : (4 \times 24)
=72:90:96= 72 : 90 : 96
Dividing by 6\displaystyle 6 to simplify to the lowest terms:
726:906:966=12:15:16\frac{72}{6} : \frac{90}{6} : \frac{96}{6} = 12 : 15 : 16
Hence, **Option B** is the correct answer.

More Questions from Ratio, Proportion, Indices, Logarithms

3x−2:5x+6\displaystyle 3x-2:5x+6 the duplicate ratio of 2:3\displaystyle 2:3 then find the value x\displaystyle x.

If the ratio of two numbers is 7:11\displaystyle 7:11. If 7\displaystyle 7 is added to each number then the new ratio will be 2:3\displaystyle 2:3 then the numbers are.

If x:y=z:7=4:11\displaystyle x:y=z:7=4:11 then x+y+zz\displaystyle \frac{x+y+z}{z} is

The ratio of two numbers are 3:4\displaystyle 3:4. The difference of their squares is 28\displaystyle 28 greater is:

The price of scooter and moped are in the ratio 7:9\displaystyle 7:9. The price of moped is ₹1,600\displaystyle ₹1,600 more than that of scooter. Then the price of moped is:

If A:B=3:7\displaystyle A:B=3:7, then 3a+2b:4a+5b=?\displaystyle 3a+2b:4a+5b=?

Ready to Master Ratio, Proportion, Indices, Logarithms?

Practice all 220 questions with instant feedback, earn XP, track your streaks, and ace your CA Foundation exam.

Start Practicing — It's Free