Correct Answer - Option 3 : 25 : 18 : 10
Given:
P gets 7 more than Q
Q gets 8 more than R gets
Total sum = Rs. 53
Calculation:
Let the share of R be Rs. x
Q gets 8 more than R gets, Q = x + 8
P gets 7 more than Q gets, P = (x + 8) + 7 = x + 15
Total sum = (P + Q + R)'s sum = x + 8 + x + 15 + x = 3x + 23
According to the question
⇒ 3x + 23 = 53
⇒ 3x = 30
⇒ x = 10
Ratio of P, Q and R share is
⇒ (x + 15) : (x + 8) : x
⇒ (10 + 15) : (10 + 8) : 10
⇒ 25 : 18 : 10
∴ The ratio of their shares is 25 : 18 : 10