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The income ratio of A and B is 9:4, and their expenditure ratio is 7:3. If each saves ₹4,500, what is A's income?
Question

The income ratio of A and B is 9:4, and their expenditure ratio is 7:3. If each saves ₹4,500, what is A's income?

A.

₹65,600

B.

₹57,600

C.

₹67,500

D.

₹75,600

Correct option is C


Ans. (c) Sol. Let A’s income be 9x and B’s income be 4x. Similarly, let A’s expenditure be 7y and B’s expenditure be 3y. Since savings = Income - Expenditure, For A: 9x−7y=45009x - 7y = 45009x−7y=4500 For B: 4x−3y=45004x - 3y = 45004x−3y=4500
Solving these equations, we get A's income = ₹67,500.

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