Multiple choice

The incomes of A and B are in the ratio 2:3 and their expenditures are in the ratio 1:2. If each saves Rs. 24000, find A's income. A और B की आय का अनुपात 2 : 3 है और उनके व्यय का अनुपात 1 : 2 है। यदि उनमें से प्रत्येक की बचत 24000 रू. हो तो A की आय ज्ञात कीजिए।

  1. Rs. 24000

  2. Rs. 72000

  3. Rs. 19200

  4. Rs. 48000

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let A's income = 2x and B's income = 3x. Let A's expenditure = y and B's expenditure = 2y (given ratio 1:2). Since both save Rs. 24000, we have: A's saving = 2x - y = 24000, and B's saving = 3x - 2y = 24000. Solving these equations: from first equation y = 2x - 24000, substituting in second: 3x - 2(2x - 24000) = 24000, which gives x = 24000. Therefore A's income = 2x = Rs. 48000.