Question
‘P’, ‘Q’ and ‘R’ divide a certain sum of
money among themselves. The average of the amount with them is Rs. 3800. Share of ‘P’ is 20% more than share of ‘Q’ and 25% less than share of ‘R’. What is the share of ‘Q’ (in Rs.)?Solution
Let share of ‘Q’ = Rs. 100x Share of ‘P’ = 100x + {20% of 100x} = Rs. 120x Share of ‘R’ = (4/3) × 120x = Rs. 160x Total amount with ‘P’, ‘Q’ and ‘R’, together = 3800 × 3 = Rs. 11400 So, 120x + 100x + 160x = 11400 Or, 380x = 11400 Or, x = 30 So, share of ‘Q’ = 100x = 100 × 30 = Rs. 3000
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