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Quantitative Aptitude

Solving Inequalities

Mani Ram divi...

Question

Mani Ram divides Rs. 20000 amongst his 5 sons, 4 daughters and 9 friends. If each daughter receives four times as much as each friend receives, and each son receives five times as much as each friend receives, how much does each daughter receive?

A

1600

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B

2000

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C

400

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D

3600

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E

None of these

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Solution

The correct option is A
1600

5x + 4y + 9z = 20000 where x = 5z, y = 4z

Friend’s share (z) = 20000 $\div$ 50 = 400

Each daughter’s share = 400 $\times$ 4 = 1600

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