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.)
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 = $$100 \times 0.6 = Rs. 60$$
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