Multiple Choice Questions on A cloth merchant buys cloth from a weaver and cheats him by using a scale which is 10 cm longer than........... for CDS Exam Preparation

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Multiple Choice Questions

A cloth merchant buys cloth from a weaver and cheats him by using a scale which is 10 cm longer than...........

Quantitative Aptitude (CDS) Profit and loss
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    A cloth merchant buys cloth from a weaver and cheats him by using a scale which is 10 cm longer than a normal metre scale. He claims to sell cloth at the cost price to his customers, but while selling uses a scale which is 10 cm shorter than a normal metre scale. What is his gains?

    20%

    Incorrect Answer

    21%

    Incorrect Answer

    22\frac{2}{9}\%

    Correct Answer

    23\frac{1}{3}\%

    Incorrect Answer
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    Explanation:

    Let the actual C.P. of cloth = 1

    Then\: the\: effective\: CP = \frac{100}{110}=\frac{1}{11}

    (Since he purchases 110 articles by paying Rs. 100)

    Again\: SP = \frac{100}{90}=\frac{10}{9}

    (Since he sells only 90 articles charging the CP of 100articles).

    Gain\: \% = \frac{SP-CP}{CP}\times100=\frac{\frac{10}{9}-\frac{10}{11}}{\frac{10}{11}}\times100

    =\frac{200}{9}=22\frac{2}{9}\%

    By: Munesh Kumari
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