Question 56

A, B and C have a certain amount of money with themselves. C has $${3 \over 4}$$ of what A has and B has Rs. 50 less than C. If A, B and C together have Rs. 250, then how much does A alone have? (in Rs.)

Solution

Amount with A = $$Rs. 4x$$

=> Amount with C = $$\frac{3}{4} \times 4x = Rs. 3x$$

=> Amount with B = $$Rs. (3x - 50)$$

Total amount with A,B & C = $$4x + 3x + (3x - 50) = 250$$

=> $$10x = 250 + 50 = 300$$

=> $$x = \frac{300}{10} = 30$$

$$\therefore$$ Amount with A = $$4 \times 30 = Rs. 120$$


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