8th Class Mathematics Related to Competitive Exam Question Bank Arithmetic

  • question_answer
    Two successive discounts of 10% and 5% are equal to a single discount of:

    A) 7%                                    

    B)  \[256\times 1=256.\]

    C)  \[\frac{1}{n}\]               

    D) 15%

    Correct Answer: C

    Solution :

    Two successive discounts of x% and y% allowed on an item are equivalent to a single discount of       \[\text{Gain }\!\!%\!\!\text{ =}\frac{\text{No}\text{.of articles on CP-No}\text{.of articles on Sp}}{\text{No}\text{.of articles on SP}}\] Hence \[=10,y=5\] \[\frac{S{{P}_{1}}}{100+{{x}_{1}}}=\frac{S{{P}_{2}}}{100+{{x}_{2}}}\]Two successive discount \[\frac{\frac{1}{36}}{100-4}=\frac{S{{P}_{2}}}{100+{{x}_{2}}}\] \[\frac{\frac{1}{36}}{100-4}=\frac{S{{P}_{2}}}{100+8}\] 


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