A B and C start a business If the ratio of their periods of investments are 2 3 6 and their profits ...........

Quantitative Aptitude (CDS) Ratio, Proportion

A, B and C start a business. If the ratio of their periods of investments are 2:3:6 and their profits are in the ratio of 4:4:6 then the ratio of capitals of A, B, and C is?

6:10:12

12:8:6

10:12:6

None of these

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Explanation:

let their capital of investment is c1,c2 and c3
p1=c1t1,p2=c2t2,p3=c3t3
profit ratio is p1:p2:p3::4:4:6
capital ratio is p1/t1:p2/t2:p3/t3::4/2:4/3:6/6
p1/2:p2/3:p3/6::12:8:6
c1:c2:c3::12:8:6