Multiple Choice Questions on The difference between a discount of 25 and two successive discounts of 10 and 20 on a certain bill ........... for Mathematics - All Exams Preparation

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Multiple Choice Questions

The difference between a discount of 25 and two successive discounts of 10 and 20 on a certain bill ...........

Quant (SSC) Profit and loss
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    The difference between a discount of 25% and two successive discounts of 10% and 20% on a certain bill was Rs. 90. Find the amount of the bill.

    1500

    Incorrect Answer

    300

    Incorrect Answer

    3000

    Correct Answer

    Data inadequate

    Incorrect Answer
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    Explanation:
    Let the bill amount be Rs. x.
    The difference between a discount of 25% and two successive discounts of 10% and 20% on a certain bill was Rs. 90.
    So, we can write now,
    [x × (100 – 25)%] – [x × (100 – 10)% × (100 – 20)%] = 90
    ⇒ (x × 75%) – (x × 90% × 80%) = 90
    ⇒ x(75 /100 - 7200/10000) = 90
    ⇒ x (7500 – 7200) = 90 × 10000
    ⇒ x × 300 = 900000
    ⇒ x = 900000/300
    ⇒ x = 3000
    ∴ The bill amount was Rs. 3000.

    By: Amit Kumar
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