A.  9 Months

B.  10 Months

C.  11 Months

D.  12 Months

1
Correct Answer :
10 Months
Explanation :

=> Say, Capital = Z

=> A's contribution = 1/4th of capital i.e. Z/4

=> So, B's capital = Total Capital - A's Capital = Z - Z/4 = 3Z/4

=> Say, B has invested for N months

=> Ratio of Investment = (Z/4) x 15 : (3Z/4) x N = 5 : N

=> Total profit = P

=> So, B's share in profit is 2P/3

=> Therefore, A's share = P - 2P/3 = P/3

=> Ratio of Profit = P/3 : 2P/3 = P : 2P = 1 : 2

=> Ratio of Investmment = Ratio of Profit

=> 5 : N = 1 : 2

=> N = 10

=> So, B's investment is for 10 Months


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