Rs 650 was divided among 3 children in the ratio 2 4 7 Had it been divided in the ratio 1 2 1 4 1 7 ...........

Quantitative Aptitude ( CCS) Ratio, Proportion

Rs 650 was divided among 3 children in the ratio 2 : 4 : 7. Had it been divided in the ratio 1/2 : 1/4 : 1/7, who would have gained the most and by how much?

C, Rs 264

B, Rs 18

A, Rs 246

A, Rs 264

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Explanation:

New ratio = 1/2 : 1/4 : 1/7 = 14 : 7 : 4
So both ratio suggests that C has not gained any money, rather he has lose the money.
For both ratio find the shares of A and B
With ratio 2 : 4 : 7, A gets = [2/(2+4+7)] * 650 = 100, B gets = [4/(2+4+7)] * 650 = 200
With ratio 14 : 7 : 4, A gets = [14/(14+7+4)] * 650 = 364, B gets = [7/(14+7+4)] * 650 = 182
B has also lose the money, A gain the money and = 364 – 100 = 264