Ratio, Proportion, Indices, LogarithmPYQ Jan 21Question 795 of 305

In a certain business A and B received profit in certain ratio B and C received profits in the same ratio. If A gets $\displaystyle ₹1600$ and C gets $\displaystyle ₹2500$ then how much does B get?

\displaystyle ₹2,000

\displaystyle ₹2,500

\displaystyle ₹1,000

\displaystyle ₹1,500

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Correct Answer

✅ Option a — $\displaystyle ₹2,000$

Let the common ratio of profits be

\displaystyle r

.
We are given:

\frac{A}{B} = r \quad \text{and} \quad \frac{B}{C} = r

From this, we can write

\displaystyle B = A \cdot \frac{1}{r}

and

\displaystyle B = C \cdot r

, which implies:

\frac{A}{B} = \frac{B}{C} \implies B^2 = A \cdot C

Substituting the given profits

\displaystyle A = 1600

and

\displaystyle C = 2500

B^2 = 1600 \times 2500

B^2 = 4,000,000

B = \sqrt{4,000,000} = ₹2,000

Paper

Paper 3: Quantitative Aptitude

Weightage

5-7 Marks

Key Topics

Ratio, Proportion, Indices, Logarithms

This chapter covers Ratio, Proportion, Indices, Logarithms and is part of Paper 3: Quantitative Aptitude in the CA Foundation exam.

Exam Strategy Tip

This topic carries 5-7 Marks weightage. Focus on understanding core concepts rather than memorizing.

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