A, B and C started a business by investing Rs. 20,000 Rs. 28,000 and Rs. 36,000 respectively. After 6 months, A and B withdrew an amount of… — Answer & Discussion

A, B and C started a business by investing Rs. 20,000 Rs. 28,000 and Rs. 36,000 respectively. After 6 months, A and B withdrew an amount of Rs. 8,000 each and C invested an additional amount of Rs. 8,000. All of them invested for equal period of time. If at the end of the year. C got Rs. 12,550 as his share of profit, what was the total profit earned ?

ARs. 25,100
BRs. 26,600
CRs. 24,300
DRs. 22,960

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Discussion 1

CCommunity21 May 2019

Solution
Amount invested by A,B and C = Rs. 20,000 Rs. 28,000 and Rs. 36,000 respectively.
Ratio of profits shared by A : B : C
= $[(20,000 \times 6) + (12,000 \times 6)]$ : $[(28,000 \times 6) + (20,000 \times 6)]$ : $[(36,000 \times 6) + (44,000 \times 6)]$
= $32 : 48 : 80 = 2 : 3 : 5$
Let total profit earned = $Rs. x$
Profit received by C = $\frac{5}{(2 + 3 + 5)} \times x = 12550$
=> $\frac{x}{2} = 12550$
=> $x = 12550 \times 2 = Rs. 25,100$