Multiple choice

Two numbers A and B are such that the sum of 5% of A and 4% of B is two-third of the sum of 6% of A and 8% of B. Find the ratio of A : B is दो संख्याएँ A और B इस प्रकार हैं कि A के 5% और B के 4% का योग A के 6% और B के 8% के योग का दो-तिहाई है। A : B का अनुपात ज्ञात कीजिए

  1. 4:1

  2. 9:8

  3. 5:2

  4. 4:3

  5. 1:2
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D Correct answer
Explanation

Given: 5% of A + 4% of B = 2/3(6% of A + 8% of B). This gives 0.05A + 0.04B = 2/3(0.06A + 0.08B) = 0.04A + 0.0533B. Rearranging: 0.05A - 0.04A = 0.0533B - 0.04B, giving 0.01A = 0.0133B, so A/B = 1.333/1 = 4/3. Therefore A:B = 4:3.

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