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P. Q and R have a certain amount of money with themselves. Q has 25% more than what P has, and R has $${1 \over 5}$$th of what Q has. If P.…

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P. Q and R have a certain amount of money with themselves. Q has 25% more than what P has, and R has $${1 \over 5}$$th of what Q has. If P. Q and R together have Rs. 150, then how much money does P alone have? (in Rs.)

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Discussion 1

CCommunity22 May 2019

Solution
Let P has = $Rs. 100x$
=> Amount with Q = $100x + \frac{25}{100} \times 100x = Rs. 125x$
=> Amount with R = $\frac{1}{5} \times 125x = Rs. 25x$
Total amount together = $100x + 125x + 25x = 150$
=> $x = \frac{150}{250} = \frac{3}{5}$
=> $x = 0.6$
$\therefore$ Amount with P alone = $100 \times 0.6 = Rs. 60$