In a business, A invested 1200 rs. more thanB. B invested his amount for 15 months whileA invested for 4 months more than that of B.If total profit was 1240 rs. in which the profitof B is 280 Rs. less than that if A. then what was the invested amount of A?

In a business, A invested 1200 rs. more thanB. B invested his amount for 15 months whileA invested for 4 months more than that of B.If total profit was 1240 rs. in which the profitof B is 280 Rs. less than that if A. then what was the invested amount of A? Correct Answer 6000

Ans. Let B’s investment = x rs.∴ A’s investment =( x + 1200) rs.Ratio of the profits of A and B = (x+1200)*(15+4):x*15 = {19(x+1200)}:15xNow,let the total profit of A =y∴ total profit of B = (y-280)But total profit = 1240⇒y+(y-280)=1240⇒2y=1520⇒y= 760∴profit of A = 760rs.Profit of B = 760-280=480 rs.Ratio of profits= 760:480 = 19:12According to the question,

19(x+1200)/15x = 19/12

12x+14400 = 15x

⇒3x = 14400⇒x = 4800 rs.⇒investment of A = 4800+1200                          = 6000 rs.

Bissoy MCQ

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