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Monday, August 15, 2022

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?

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?
ARs.210
BRs.270
CRs.230
DRs.280

Correct answer is: Rs.210

Explanation:

Let the amount be Rs.x.

\(\therefore \left(\frac{3}{9}-\frac{2}{14}\right)x = 40\)

\( \left(\frac{1}{3}-\frac{1}{7}\right)x = 40 \implies \left(\frac{7-3}{21}\right)x = 40\)

\(x = \frac{40 \times 21}{4}\)

\(\text{= Rs.210}\)

Nithin
answered undefined

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