CAT 2025 Slot 2 QA Question 9: 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 Meena

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 Meena

Accepted Answer

Let the expenditures of Lakshmi and Meenakshi be $2k$ and $3k$, respectively.

$	ext{Lakshmi's income} : 	ext{Meenakshi's expenditure} = 6 : 7$.
$	ext{Lakshmi's income} = \dfrac{6}{7} 	imes 3k = \dfrac{18k}{7}$

$	ext{Lakshmi's saving} = \dfrac{18k}{7} - 2k = \dfrac{4k}{7}$

Since the savings r

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