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ABHISHEK KUMAR

· started a discussion

· 1 Months ago

correction needed (Question:251266.0)

given in question time of B:C 5:3 BUT IN YOUR SOLUTION 4:3

Question:

    A, B, C start a partnership. The capitals of A and B are in the ratio of 4 : 5 and their investment is for the complete year. The periods of B and C are in the ratio 4 : 3. The profit shares of A and C are in the ratio of 4 : 3. The capital of B and C are in the ratio of:


Options:
A)

 5 : 1

B)

 5 : 2

C)

 5 : 4

D)

 5 : 5    

Solution:

Time of B:C = 4:3

Time of B = 12 months = 4x

Time of C = 3*3 =9 Monts

\(\begin{array}{|c|c|c|c|} \hline Desc & A & B & B & C\\ \hline Capital & 4a & 5a & x & y\\ \hline Time & 12 & 12 & 12 & 9\\ \hline Profit & 48a & 60a & 12x & 9y\\ \end{array}\)

 48a:9y=4:3

60a:15y=1

12x:15y=1 (60 = 12x from row 3 of given table)

   x:y=5:4


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