A sum (in ₹) is distributed between A, B and in the ratio 9 : 6 : 11. If A gives ₹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 ₹) of B and C, in the beginning?
Answer & explanation
Correct answer: option 4
ratio of A, B and C = 9 : 6 : 11
According to the question,
\(\frac{9x-500}{11x+500}\) = \(\frac{4}{6}\) = \(\frac{2}{3}\)
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