CLAT Sample Paper CLAT Sample Paper-10

  • question_answer
    An article is listed at Rs 65. A customer bought this article for Rs 56.16 and got two successive discounts of which one is 10%. Find the other discount of this discount scheme that was allowed by the shopkeeper.

    A)  4%                  

    B)         3%                  

    C)  6%                  

    D)         None of these   

    Correct Answer: A

    Solution :

    List price of the article = Rs 65 Selling price of the article = Rs 56.16 \[\therefore \]   Discount =65-56.16= Rs 8. 84 \[\therefore \] Discount per cent \[=\frac{8.84\times 100}{65}=13.6%\] The first discount of the given discount series is 10%. At the second discount of the series be m%. \[\therefore \] Single discount per cent \[=\,\left( m+n-\frac{mn}{100} \right)%\] \[\Rightarrow \]   \[136%=\,\left( m+10-\frac{10m}{100} \right)%\] \[\Rightarrow \]   \[13.6=m+10-\frac{m}{10}\] \[\Rightarrow \]   \[136=100+10m-m\] \[\Rightarrow \]   \[9m=36\] \[\therefore \]      \[m=4%\]

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