Question
By mistake, instead of dividing Rs. 564 among P, Q and R
in the ratio 1/3 : 1/4 : 1/5 it was divided in the ratio of 3 : 4 : 5. Who gains the most and by how much?Solution
Correct ratio P : Q : R = 1/3 : 1/4 : 1/5 = 1/3 × 60 : 1/4 × 60 : 1/5 × 60 = 20 : 15 : 12 ∴ P’s share = 20/47 × 564 = Rs. 240 Q’s share = 15/47 × 564 = Rs. 180 And R’s share = 12/47 × 564 = Rs. 144 Ratio by mistake P : Q : R = 3 : 4 : 5 ∴ P’s share = 3/12 × 564 = Rs. 141 Q’s share = 4/12 × 564 = Rs. 188 And R’s share = 5/12 × 564 = Rs. 235 It is obvious from above that R gains maximum i.e. Rs. 91
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