8th Class Mathematics Comparing Quantities Question Bank Comparing Quantities

  • question_answer
    When the price of a product was decreased by 10%, the number of products sold increased by 30%. What was the increase on the total revenue?

    A)  \[\text{23 }\!\!%\!\!\text{ }\]               

    B)  \[\text{16}\frac{2}{3}%\]     

    C)         \[15%\]          

    D)         \[17%\]          

    Correct Answer: D

    Solution :

    Let the price of the product be Rs.100and let original sale of product = 100 pieces. Then, Total revenue\[\text{=Rs}\text{.(100}\times \text{100)=Rs}\text{.10000}\] Now, the price is decreased by 10% \[\therefore \]New price \[\text{=Rs}\text{.90}\] Also, number of pieces sold is increased by 30%, \[\therefore \] Total pieces sold \[\text{=130}\] \[\therefore \] New revenue \[\text{=Rs}\text{. (130 }\!\!\times\!\!\text{ 90)=Rs}\text{.11700}\] Now, increase in revenue \[\text{=}\left( \frac{(11700-10000)}{10000}\times 100 \right)=17%\]


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