Multiple choice

P, Q, R, S four persons invested a combined amount of Rs x lakhs to start a business in such a way that P’s share is (\frac{3}{16}) of total invested amount, R’s share is (\frac{2}{7}) of Q, S’s share is 200% of R and Q’s share is Rs 28 lakhs. Total invested amount is 4 times of the amount invested by S. What is the ratio of shares of P, Q, R and S?

  1. 2 : 7 : 3 : 4

  2. 7 : 2 : 4 : 3

  3. 3 : 7 : 2 : 4

  4. 9 : 21 : 7 : 12

  5. None of these
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Given Q = Rs 28 lakhs. R = (2/7)×Q = 8 lakhs. S = 200% of R = 16 lakhs. Total = 4×S = 64 lakhs. P = (3/16)×Total = 12 lakhs. Ratio P:Q:R:S = 12:28:8:16 = 3:7:2:4 (dividing by 4). The question states Total = 4×S, which is satisfied: 64 = 4×16 ✓

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