Question
Rs. 8,100 was supposed to be distributed among 'X', 'Y',
and 'Z' in the ratio of (1/3) : (1/4) : (1/6), respectively. However, due to an error, it was actually divided among them in the ratio 4:5:6. What is the extra amount that 'Z' received because of this mistake?Solution
Actual ratio of amount the amount received by ‘X’, ‘Y’ and ‘Z’, respectively = (1/3):(1/4):(1/6) Multiplying throughout by 12 (LCM of 3, 4 and 6) = (12/3):(12/4):(12/6) = 4:3:2 Original share of ‘Z’ = (8100/9) × 2 = Rs. 1,800 Share of ‘Z’ when the given amount is divided in wrong ratio = (8100/15) × 6 = Rs. 3,240 Therefore, excess amount received by ‘Z’ = 3240 – 1800 = Rs. 1,440
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