Question

A sum (in Rs.) is distributed between A, B and C in the ratio 9 : 6 : 11. If A gives Rs. 500 from his share to C, the ratio of shares of A, B and C becomes 4 : 3 : 6. What is the sum of shares of B and C, in the beginning?

• A. Rs. 9,100
• B. Rs. 8,500
• C. Rs. 7,500
• D. Rs. 7,800

Answer 1

Answer:

B. Rs. 8,500

Sum of ratio of A, B and C = 9x : 6x : 11x (9x – 500)/(11x + 500) = 4/6 = 2/3 3(9x – 500) = 2(11x + 500) 27x – 1500 = 22x + 1000 27x – 22x = 1000 + 1500 5x = 2500 x = 500 Sum of share of B and C = 6x + 11x = 17x = 17 × 500 = 8500