A, B and C received an amount of Rs 8400 and distributed among themselves in the ratio of 6 : 8 : 7 respectively. If they save in the ratio of 3 : 2 : 4 respectively and B saves Rs 400, then what is the ratio of the expenditures of A, B and C respectively?

Total amount received by A, B and C = Rs. 8400

Ratio of amount received by A : B : C = 6 : 8 : 7

=> Amount received by A = $$\frac{6}{(6+8+7)}\times8400$$

= $$6\times400=Rs.$$ $$2400$$

Similarly, amount received by B = Rs. $$3200$$ and by C = Rs. $$2800$$

Let the amount saved by A,B and C respectively be Rs. $$3x,2x,4x$$

According to ques, => $$2x=400$$

=> $$x=\frac{400}{2}=200$$

Thus, amount saved by A = $$3\times200=Rs.$$ $$600$$ 

Similarly, amount saved by C = $$4\times200=Rs.$$ $$800$$

$$\therefore$$ Ratio of the expenditures of A, B and C respectively

= $$(2400-600):(3200-400):(2800-800)$$

= $$1800:2800:2000$$

= $$9:14:10$$

=> Ans - (C)