Question
'X' and 'Y' started a business by investing Rs. 20,000
and Rs. 15,000, respectively. 'X' invested for 6 months and 'Y' invested for 12 months. 'X' also works as manager in the business for which he's entitled to receive a commission of 15% out of total profit. If at the end of the year, the business earned a total profit of Rs. 20,000, then find the total amount received by 'X'.Solution
Ratio of profit shares of 'X' and 'Y' at the end of the year = {20000 X 6}:{15000 X 12} = 2:3 Total amount received by 'X' = commission earned by 'X' + Profit share of 'X' So, commission earned by 'X' = 20000 X 0.15 = Rs. 3,000 So, net profit to be distributed between 'X' and 'Y' = 20000 - 3000 = Rs. 17,000 So, profit share of 'X' = 17000 X (2/5) = Rs. 6,800 So, total amount received by 'X' = 6800 + 3000 = Rs. 9,800
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