A B and C started a business with their investments in the ratio 1 2 4 After 6 month A invested the ...........

Quantitative Aptitude ( CCS) Partnership

A, B and C started a business with their investments in the ratio 1 : 2 : 4. After 6 month A invested the half amount more as before and B invested same the amount as before. While C withdrew 1/4th of the their investments. Find the ratio of their profits at the end of the year.

5 : 12: 13

5 : 1: 14

5: 12: 14

none of these

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Explanation:

Note : We can assume values as per our need out the ration of values should not be changed.
A : B : C
Capital → 2x : 4x : 8x
Total capital invested by A = (2x+6+3x × 6) = 30x
Total capital invested by B = (4x × 6 + 8x × 6) = 72x
Total capital invested by C = (6 × 8x + 6x × 6) (48x + 36x) = 84x
New ratio of capitals:
A : B : C
Capital → 30x : 72x : 84x
Profit → 5 : 12 : 14
Note : Profit would be divided in the ratio of their capitals.
Required ratio of their profit = 5 : 12 : 14