Multiple choice

A and B's income are in the ratio 3 : 2 and their expenses are in the ratio 5 : 3. If each of them saves Rs. 2000, then the income of A is :

  1. Rs. 8000

  2. Rs. 10000

  3. Rs. 12000

  4. Rs. 15000
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let A's income be 3x and B's income be 2x. Let A's expenses be 5y and B's expenses be 3y. Since both save Rs. 2000: 3x - 5y = 2000 and 2x - 3y = 2000. Solving these equations: From the second, 2x = 2000 + 3y, so x = 1000 + 1.5y. Substituting in first: 3(1000 + 1.5y) - 5y = 2000, so 3000 + 4.5y - 5y = 2000, giving 3000 - 0.5y = 2000, thus 0.5y = 1000, y = 2000. Then x = 1000 + 1.5(2000) = 1000 + 3000 = 4000. A's income = 3x = 3(4000) = Rs. 12000.

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