Question 65

A money was distributed among A, B and C in the ratio of 5:6:7 respectively. If B gave Rs. 400 to C, then the ratio among the distribution of A, B and C will be 2:3:4. Find out the sum of the initial money of A and C.

Solution

Let the initial ratio of money is 5x, 6x and 7x.

According to the question,

$$\frac{6x-400}{7x+400}=\ \frac{3}{4}$$

$$24x-1600=21x+1200\ $$

$$=\frac{2800}{3}$$

Sum of initial money of A and C is 12x.

so, $$:\ \frac{2800}{3}\times\ 12$$

i.e; Rs.11200

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