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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.
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