Question : A sum (in INR) is distributed between A, B, and C in the ratio 9 : 6 : 11. If A gives INR 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 (in INR) of B and C, in the beginning?
Option 1: INR 8,500
Option 2: INR 9,100
Option 3: INR 7,800
Option 4: INR 7,500
Correct Answer: INR 8,500
Solution :
Given: A sum (in INR) is distributed between A, B, and C in the ratio 9 : 6 : 11.
Let the share of A, B and C be
A gives INR 500 from his share to C, and the ratio of shares of A, B, and C becomes 4 : 3 : 6.
According to the question,
⇒
⇒
⇒
⇒
⇒
In the beginning, the sum of shares (in INR) of B and C
Hence, the correct answer is INR 8,500.
