CAT 2025 Question Paper | Quant Slot 2

CAT Questions

CAT 2025 Quant was dominated by Algebra followed by Arithmetic. In Arithmetic, the questions were dominated by topics like Speed-time-distance, Mixture and Alligations. This year, there was a surprise. The questions from Geometry were relatively on the lower side as compared to the previous years. There were 8 TITA Qs this year. Overall this section was at a medium level of difficulty.

Question 13 : 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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Video Explanation

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Explanatory Answer

Let Meenakshi's expenditure = \(21k\).
Lakshmi's expenditure = \(\frac{2}{3}\times21k=14k\).
Lakshmi's income = \(\frac{6}{7}\times21k=18k\).

Lakshmi's Savings = \(18k-14k=4k\)
Given savings ratio is 4:9:
Meenakshi's Savings = \(9k\)

Meenakshi's Income = Expenditure + Savings = \(21k+9k=30k\)

Ratio of Incomes = \(\frac{\text{Lakshmi's Income}}{\text{Meenakshi's Income}}=\frac{18k}{30k}=\frac{3}{5}\)

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The answer is '3 : 5'

Choice 2 is the correct answer.

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