10th Class Mathematics Related to Competitive Exam Question Bank Commercial Mathematics

  • question_answer
    A shopkeeper gives a discount of 25% on the marked price of an article and still earns a profit of 20% on his outlay, If he had not given any discount, then the profit on his outlay would have been

    A)  45%                      

    B)         50%

    C)  55%                      

    D)         60%  

    Correct Answer: D

    Solution :

     Let the Market Price \[=Rs.\text{ }100,\]Discount = \[~25%\] Discounted Price \[=Rs.100\times \frac{100-25}{100}\] \[=Rs.\,100\times \frac{75}{100}=Rs.75\] Profit \[=20%\] \[\therefore \]  Cost Price \[=Rs.75\times \frac{100}{100+20}\]                 \[=Rs.75\times \frac{100}{120}=Rs.\frac{125}{2}\] Had he not given discount, his profit would have    been                                       \[=Rs.100-Rs.\frac{125}{2}=Rs.\frac{75}{2}\] Profit on \[Rs.\frac{125}{2}=Rs.\frac{75}{2}\] \[\therefore \] Profit on \[Rs.100=\frac{75}{2}\times \frac{2}{125}\times 100=60%\]


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