Question : A sum of Rs. 53 is divided among A, B, and C in such a way that A gets Rs. 7 more than what B gets and B gets Rs. 8 more than what C gets. The ratio of their share is:
Option 1: 16 : 9 : 18
Option 2: 25 : 18 : 10
Option 3: 18 : 25 : 10
Option 4: 15 : 8 : 30
Correct Answer: 25 : 18 : 10
Solution :
Let the share of C be Rs. $x$.
B gets Rs. 8 more than what C gets, B = $x$ + 8
A gets Rs. 7 more than what B gets, A = ($x$ + 8) + 7 = $x$ + 15
Total sum = (A + B + C)'s sum = $x$ + 8 + $x$ + 15 + $x$
⇒ Rs. 53 = 3x + 23
⇒ 3x = 30
⇒ $x$ = 10
Ratio of A, B, and C's share = ($x$ + 15) : ($x$ + 8) : ($x$)
⇒ Ratio of A, B, and C's share = 25 : 18 : 10
Hence, the correct answer is 25 : 18 : 10.
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