Question 11

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. Rs x

B's share in the ratio 2:3:4 = $$\ \frac{\ 3}{9}$$ of x=$$\ \frac{\ x}{3}$$

B's share in the ratio 7:2:5 = $$\ \frac{\ 2}{14}$$ of x = $$\ \frac{\ x}{7}$$ , therefore

$$\ \frac{\ x}{3}$$-$$\ \frac{\ x}{7}$$= 40

$$\ \frac{\ 4x}{21}$$ = 40

 x = (40×21)/4 = Rs 210

A is the correct answer.

Video Solution

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