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SSC Quantitative Aptitude Partnership Question Bank Partnership (II)

  • question_answer
    A and B entered into partnership with capitals in the ratio 4 : 5. After 3 months, A withdrew 1/4 of his capital and B withdrew 1 / 5 of his capital. The gain at the end of 10 months was Rs. 15200. A's share in this profit is

    A) Rs. 7200

    B) Rs. 6600

    C) Rs. 7800

    D) Rs. 8200

    Correct Answer: B

    Solution :

    [b] Let the capitals of A and B be Rs. 4x and Rs. 5x, respectively. Capital withdrawn by \[A=\frac{1}{4}\] of Rs. 4x = Rs. x Capital withdrawn by \[B=\frac{1}{5}\] of Rs. 5x = Rs. x \[A:B=(4x\times 3+3x\times 7)\]\[:(5x\times 3+4x\times 7)\] = 38x : 43x = 33 : 43 A's share \[=\text{Rs}\text{.}\,\,\left( 15200\times \frac{33}{76} \right)=\text{Rs}.\,\,6600\]


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