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 then ratio of their shares is?

• A. 25 : 18 : 10
• B. 6 : 7 : 8
• C. 1 : 4 : 9
• D. 5 : 8 : 3

Answer 1

Answer:

A. 25 : 18 : 10

Given: A sum of Rs. 53 is divided among A. B and C A gets Rs. 7 more than what B gets and B gets Rs. 8 more than what C gets. Calculation: Let's assume that C gets x amount of money. Then, B gets = x + 8 A gets = x + 15. The total amount of money given to all three is ⇒ x + x + 8 + x + 15 = 53. ⇒ 3x + 23 = 53 ⇒ 3x = 30 ⇒ x = 10. ∴ C gets = x = 10 ⇒ B gets = x + 8 = 10 + 8 =18, ⇒ A gets = x + 15 = 10 + 15 = 25. The ratio of their share as A : B: C = 25 : 18: 10 ∴ The correct answer is option 1 i.e. 25: 18: 10