Question
Four numbers P, Q, R, S satisfy: Q is 25% less than P,
Q:R = 9:10, and R:S = 5:8. If the average of P, Q, R, S is 94, find (S – P).Solution
ATQ,
Q is 25% less than P ⇒ P:Q = 4:3 Match Q across ratios: P:Q = 12:9 and Q:R = 9:10 ⇒ P:Q:R = 12:9:10 R:S = 5:8 ⇒ make R = 10 ⇒ R:S = 10:16 So P:Q:R:S = 12:9:10:16 Desired difference = (16 – 12)/(12 + 9 + 10 + 16) × 94 × 4 = 4/47 × 376 = 32
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