Question
Rs. 5600 is divided among 'X', 'Y', 'Z', and 'W' in the
ratio 4:6:3:7. Then, 'Y' gives 60% of the average of 'X' and 'W’s' amount to 'Z'. Find the average amount currently with 'X' and 'Z'.Solution
ATQ,
Initial amount with 'X' = 5600 × (4/20) = Rs. 1120
Initial amount with 'Z' = 5600 × (3/20) = Rs. 840
Initial amount with 'W' = 5600 × (7/20) = Rs. 1960
Amount given by 'Y' to 'Z' = {(1120 + 1960) ÷ 2} × 0.60 = 1540 × 0.60 = Rs. 924
Final amount with 'Z' = 840 + 924 = Rs. 1764
Therefore, required average = (1120 + 1764) ÷ 2 = Rs. 1442
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