CAT 2025 Ratio, Proportion and Variation Question (Medium)

Question

The ratio of expenditures of Lakshmi and Meenakshi is 2 3, and the ratio of income of Lakshmi to expenditure of Meenakshi is 6 7. If excess of income over expenditure is saved by Lakshmi and Meenakshi, and the ratio of their savings is 4 9, then the ratio of their incomes is

Accepted Answer

Let Lakshmi s income A and expenditure B. Let Meenakshi s income C and expenditure D. From B D 2 3, take B 2k and D 3k. From A D 6 7, A 7 D 7 cdot 3k 7 k. Lakshmi s saving A - B 7 k - 2k 7 k. Let Meenakshi s saving C - D C - 3k. Given the savings ratio 7 C-3k 9 . Solve 7 k cdot 4 C - 3k Rightarrow 7

CAT 2025

Quantitative

Ratio, Proportion and Variation

Medium

The ratio of expenditures of Lakshmi and Meenakshi is 2 : 3, and the ratio of income of Lakshmi to expenditure of Meenakshi is 6 : 7. If excess of income over expenditure is saved by Lakshmi and Meenakshi, and the ratio of their savings is 4 : 9, then the ratio of their incomes is

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