The income of A and B are in the ratio 2 : 3 and their expenditures

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The income of A and B are in the ratio 2 : 3 and their expenditures are in the ratio 1 : 2. If each saves ₹ 24,000, find A’s income.

1. ₹ 24,000
2. ₹ 72,000
3. ₹ 19,200
4. ₹ 48,000

Correct Option: D

Let the income of A and B be ₹ 2x and ₹ 3x. and their expenditures be ₹ y and ₹ 2y respectively.
∴ 2x – y = 24000 ...(i)
and 3x – 2y = 24000 ...(ii)
By equation (i) × 2 – (ii),
4x – 2y – 3x + 2y = 24000
⇒ x = 24000
∴ A’s income = 2 × 24000
= ₹ 48000