The incomes of A and B are in the ratio $3:4$, and their expenditures are in the ratio $2:3$. If each saves Rs $200$, A’s income is:

Question

The incomes of A and B are in the ratio $3:4$, and their expenditures are in the ratio $2:3$. If each saves Rs $200$, A’s income is:

Option A

Rs 500

Option B — Correct answer

Rs 600

Correct choice.

Option C

Rs 700

Option D

Rs 800

Explanation

Let incomes be $3x$ and $4x$. Then expenditures are $3x-200$ and $4x-200$, and $\frac{3x-200}{4x-200}=\frac23$. Solving gives $x=200$, so A’s income is Rs $600$.

Chapter Mock 2: Ratio, Proportion and Partnership