Question 57

A and B start a business together with an investment of Rs. 3,000/and Rs. 6,000/ respectively. At the end of six months from the start of the business, B withdrew half of his investment. If at the end of the year, B’s share from the total profit earned was Rs. 3,750/, what was the total profit earned ?

Solution

The ratio of amount invested by A and B

= $$(12 \times 3,000) : (6 \times 6,000) + (6 \times 3,000)$$

= $$(36) : (36) + (18)$$

= $$36 : 54 = 2 : 3$$

Let the total profit = Rs. $$x$$

Acc to ques,

=> B's share = $$\frac{3}{2 + 3} \times x = 3,750$$

=> $$x = \frac{3,750 \times 5}{3}$$

=> $$x = 1250 \times 5$$ = Rs. $$6,250$$

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