Correct Answer - Option 2 : 25 ∶ 18 ∶ 10
Given:
A gets Rs.7 more than what B gets
B gets Rs.8 more than what C gets
Total sum = Rs. 53
Calculation:
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
⇒ Total sum = 3x + 23 = Rs. 53
⇒ 3x = 30
⇒ x = 10
Ratio of A, B and C share = (x + 15) : (x + 8) : (x)
⇒ Ratio of A, B and C share = 25 : 18 : 10
∴ The ratio of their shares is 25 : 18 : 10