Question 86

A certain amount was to be distributed among A, B and C in the ratio 2 : 3 : 4 respectively, but was erroneously distributed in the ratio 7 : 2 : 5 respectively. As a result of this, B got Rs.40 Less. What is the amount?

Solution

Let the amount be x
If the amount is divided into 9 parts , each part = $$\frac{x}{9}$$
B's supposed amount = 3 x $$\frac{x}{9}$$ = $$\frac{x}{3}$$
But B's actual amount = 2 x $$\frac{x}{14}$$ = $$\frac{x}{7}$$
$$\frac{x}{3}$$ - $$\frac{x}{7}$$ = 40
x = 210


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