Question
Rs. 5040 was distributed among W, X, Y, and Z in the
ratio 2:5:4:3 respectively. After that, X gave an amount equal to 80% of the average of W and Z's initial shares to Y. What is the average of the remaining amounts with W and Y?Solution
ATQ, Initial amount with 'W' = 5040 × (2/14) = Rs. 720 Initial amount with 'Y' = 5040 × (4/14) = Rs. 1440 Initial amount with 'Z' = 5040 × (3/14) = Rs. 1080 Amount given by 'X' to 'Y' = {(720 + 1080) ÷ 2} × 0.80 = (1800 ÷ 2) × 0.80 = 900 × 0.80 = Rs. 720 Final amount with 'Y' = 1440 + 720 = Rs. 2160 Therefore, required average = (720 + 2160) ÷ 2 = Rs. 1440
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