A sum of Rs 106 is divided among A B C in such a way that A gets Rs 14 more than what B gets a...........

Quantitative Aptitude ( CCS) Ratio, Proportion

A sum of Rs. 106 is divided among A, B, C in such a way that A gets Rs. 14 more than what B gets and B gets Rs. 16 more than what C gets. The ratio of their shares is:

45 : 18 : 10

25 : 18 : 13

25 : 18 : 10

25 : 8 : 10

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Explanation:

Suppose C gets Rs. x. Then, B gets Rs. (x + 16) and A gets Rs. (x + 16)+14 = Rs. (x+30)
Then, x + (x + 16) + (x + 30) = 106 <=> x = 20
A : B : C = (20 + 30) : (20 + 16) : 20 = 50 : 36 : 20 = 25 : 18 : 10