8th Class Mathematics Comparing Quantities Question Bank Comparing Queantities

  • question_answer Maria goes to purchase some clothes for her and her daughter from the mall the shopkeeper allows her the successive discount of 30% and 20% on the suit she purchases for herself. Find the single discount equivalent to these successive discounts on her suit.

    A)  40%                            

    B)  44%

    C)  42%                            

    D)  35%

    Correct Answer: B

    Solution :

    (b): Let listed price be 'x' Price after 30% discount \[=x\times \left( 1-\frac{30}{100} \right)\] = 0.7x Price after second 20% discount \[=0.7x\left( 1-\frac{20}{100} \right)=0.56x\] \[\therefore \] Equivalent discount = \[\left( \frac{x-0.56x}{x} \right)\] \[=\frac{0.44x}{x}\] = 0.44 = 44%.

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