Multiple choice

The sum of A’s income and B’s income is 33000. A spends 60% and B spends 75% of own incomes. If they save in the ratio 4 : 3, find B’s income? A की आय और B की आय का योग 33000 है। A अपनी आय का 60% और B अपनी आय का 75% खर्च करता है। यदि वे 4:3 के अनुपात में बचत करते हैं, तो B की आय ज्ञात कीजिये?

  1. Rs. 13500

  2. Rs. 14000

  3. Rs. 15500

  4. Rs. 16500

  5. Rs. 18000
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

A saves 40%, B saves 25%. Their savings ratio is 4:3, so 0.4A : 0.25B = 4 : 3. This gives 0.4A/0.25B = 4/3, which simplifies to 1.6A = B, or A = 0.625B. Also, A + B = 33000. Substituting: 0.625B + B = 33000, so 1.625B = 33000, which gives B = 33000/1.625 = 20307.69. Wait - let me recalculate: 0.4A/0.25B = 4/3 means 0.4A × 3 = 0.25B × 4, so 1.2A = B. With A + B = 33000: A + 1.2A = 33000, 2.2A = 33000, A = 15000, then B = 18000. This matches option E.

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