Question 57

A sum of ₹ x was divided between A, B, C and D in the ratio $$\frac{1}{3} : \frac{1}{5} : \frac{1}{6} : \frac{1}{9}$$. If the difference between the shares of B and D is ₹832, then the value of x is:

Solution

Ratio of A, B, C and D = $$\frac{1}{3} : \frac{1}{5} : \frac{1}{6} : \frac{1}{9}$$ = 30 : 18 : 15 : 10

Let the share of A, B, C and D be 30p, 18p, 15p and 10p.

The difference between the shares of B and D = 832

18p - 10p = 832

p = 832/8 = 104

x = 30p + 18p + 15p + 10p = 73p

x = 73 $$\times$$ 104 = Rs.7592

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