Question
‘A’, ‘B’ and ‘C’ divide a certain sum of money
among themselves. The average of the amount with them is Rs. 4520. Share of ‘A’ is 10(2/3)% more than share of ‘B’ and 33(1/3)% less than share of ‘C’. What is the share of ‘B’ (in Rs.)?Solution
ATQ,
Let share of ‘B’ = Rs. 90x
Share of ‘A’ = 90x + {(32/3)% of 90x) = Rs. 99.6x
Share of ‘C’ = (3/2) × 99.6x = Rs. 149.4x
Total amount with ‘A’, ‘B’ and ‘C’, together = 4520 × 3 = Rs. 13560
So, 90x + 99.6x + 149.4x = 13560
Or, 339x = 13560
Or, x = 40
So, share of ‘B’ = 90x = 90 × 40 = Rs. 3600
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