A invested Rs 5500 for 2 months more than B while B invested Rs 4000 for 1 month more than C who inv...........

Quantitative Aptitude ( CCS) Partnership

A invested Rs 5500 for 2 months more than B while B invested Rs 4000 for 1 month more than C who invested Rs 5600. If out of a total profit of Rs 6000, the difference in the shares of C and B is Rs 250 then find the time for which A invested the money.

5 months

7 months

9 months

8 months

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Explanation:

Let C invested money for x months, then B for (x+1) months and then A for (x+1+2) = (x+3) months
So ratio of shares of A : B : C is
5500*(x+3) : 4000*(x+1) : 5600*x
55(x+3) : 40(x+1) : 56x
Given
(56x – 40x – 40)/(55x+165+40x+40+56x) * 6000 = 250
Solve, x = 5
So A invested for 5+3 = 8 months

Hence, option 4 is the correct answer.

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