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NIELIT 2019 Feb Scientist D - Section C: 14

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$A$ and $B$ entered into partnership with capitals in the ratio $4$ and $5$. After $3$ months, A withdrew $\frac{1}{4}$ of his capital and $B$ withdrew $\frac{1}{5}$ of his capital. The gain at the end of $10$ months was ₹ $760$. The share of $A$ in this profit is

  1. ₹ $360$
  2. ₹ $330$
  3. ₹ $430$
  4. ₹ $380$

1 Answer

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Correct option is B

Ratio of the initial capital of A and B = 4 : 5
Hence the initial capitals of A and B is  4x and 5x
Ratio in which profit will be divided
[(4x×3)+(43​×4x×7)]:[(5x×3)+(54​×5x×7)]=33:43
A's share=33/76​×760=Rs330

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