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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.)
- A75
- B160
- C80
- D120
Answer not set
Discussion 1
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CCommunity
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 = $4 \times 30 = Rs. 120$
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 = $4 \times 30 = Rs. 120$