Question 43

P, Q and R have a certain amount of money with themselves. Q has 50% more than what P has, and R has $${1 \over 3}$$rd of what Q has. If P,Q and R together have Rs. 246, then how much money does P alone have? (in Rs.)

Solution

Let P has = $$Rs. 100x$$

=> Amount with Q = $$100x + \frac{50}{100} \times 100x = Rs. 150x$$

=> Amount with R = $$\frac{1}{3} \times 150x = Rs. 50x$$

Total amount together = $$100x + 150x + 50x = 246$$

=> $$x = \frac{246}{300} = \frac{82}{100}$$

=> $$x = 0.82$$

$$\therefore$$ Amount with P alone = $$100 \times 0.82 = Rs. 82$$

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