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Quantitative Aptitude

Solving Inequalities

$2250 is divi...

Question

$2250 is divided among three friends Roy, Joy and Badra in such a way that 1/6th of Roy’s share, 1/4th of Joy’s share and 2/5th of Badra’s share are equal. Find Badra’s share.

A

720

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B

1080

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C

450

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D

1240

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Solution

The correct option is C 450
Let the shares of Roy, Joy and Badra = x, y,z
$\frac{x}{6} = \frac{y}{4} = \frac{2 z}{5} k x = 6 k, y = 4 k z = \frac{5 k}{2} x + y + z = 6 k + 4 k + \frac{5 k}{2} = 2250 12.5 k = 2250 k = \frac{2250}{12.5} k = 180 z = 5 \times \frac{180}{2} = 450$

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