Q74
ArithmeticRatio, Proportion & Mixtures
A sum of ₹ 1,540 is divided among A, B and C in such a way that A receives $\frac{2}{9}$ as much as B and C together receive, and B receive $\frac{3}{11}$ of what A and C together receive. Find the share of C.
- a.₹ 280
- b.₹ 330
- c.₹ 930
- d.₹ 980
Answer: (C) ₹ 930
A = $\frac{2}{9}$(B + C) means A is $\frac{2}{11}$ of the total, ₹ 280; B = $\frac{3}{11}$(A + C) means B is $\frac{3}{14}$ of the total, ₹ 330. So C = 1540 − 280 − 330 = ₹ 930. ₹ 280 and ₹ 330 are A's and B's shares.