Discount


  1. An article is listed at ₹ 65. A customer bought this article for ₹ 56.16 with two successive
    discounts of which one is 10%. The other discount of this discount scheme that was allowed by the shopkeeper is
    1. 4%
    2. 3%
    3. 6%
    4. 2.5%

  1. View Hint View Answer Discuss in Forum

    Let the other discount be x%.

    65 ×
    90
    ×
    (100 − x)
    = 56.16
    100100

    ⇒  100 − x =
    56.16 × 100 × 100
    65 × 90

    ⇒  100 – x = 96
    ⇒  x = 4%

    Correct Option: A

    Let the other discount be x%.

    65 ×
    90
    ×
    (100 − x)
    = 56.16
    100100

    ⇒  100 − x =
    56.16 × 100 × 100
    65 × 90

    ⇒  100 – x = 96
    ⇒  x = 4%


  1. What is the maximum percentage discount that a merchant can offer on her marked price so that she ends up selling at no profit or loss, if she had initially marked her goods up by 50% ?
    1. 16.67%
    2. 20%
    3. 50%
    4. 33.33%

  1. View Hint View Answer Discuss in Forum

    Let cost price = ₹ 100
    Marked price = ₹ 150

    ∴  Discount per cent =
    50
    × 100 = 33.33%
    150

    Correct Option: D

    Let cost price = ₹ 100
    Marked price = ₹ 150

    ∴  Discount per cent =
    50
    × 100 = 33.33%
    150



  1. A tradesman gives 4% discount on the marked price and 1 article free with every 15 articles bought and still gains 35%. The marked price is more than the cost price by —
    1. 40%
    2. 39%
    3. 20%
    4. 50%

  1. View Hint View Answer Discuss in Forum

    According to question, Discount on articles

    1
    × 100 = 6.25%
    16

    Overall discount = − 4 − 6.25 +
    4 × 6.25
    = −10%
    100

    Let cost price = ₹ 100, then
    selling price = ₹ 135
    So, 90% of marked price = 135
    Marked price =
    135 × 100
    = ₹ 150
    90

    Marked price is increased by
    =
    150 − 100
    × 100 = 50%
    90

    Correct Option: D

    According to question, Discount on articles

    1
    × 100 = 6.25%
    16

    Overall discount = − 4 − 6.25 +
    4 × 6.25
    = −10%
    100

    Let cost price = ₹ 100, then
    selling price = ₹ 135
    So, 90% of marked price = 135
    Marked price =
    135 × 100
    = ₹ 150
    90

    Marked price is increased by
    =
    150 − 100
    × 100 = 50%
    90


  1. A shopkeepers announce the same price of ₹ 700 for a shirt. The first offers successive discounts of 30% and 6% while the second offers successive discounts of 20% and 16%. The shopkeeper that offers better discount is more of
    1. ₹ 22.40
    2. ₹ 16.80
    3. ₹ 9.80
    4. ₹ 36.40

  1. View Hint View Answer Discuss in Forum

    According to question, selling price of first shopkeeper.

    = 700 ×
    70
    ×
    94
    = ₹ 460.60
    100100

    Selling price of second shopkeeper
    = 700 ×
    80
    ×
    84
    = ₹ 470.40
    100100

    Required difference = 470.40 – 460.60 = ₹ 9.80

    Correct Option: C

    According to question, selling price of first shopkeeper.

    = 700 ×
    70
    ×
    94
    = ₹ 460.60
    100100

    Selling price of second shopkeeper
    = 700 ×
    80
    ×
    84
    = ₹ 470.40
    100100

    Required difference = 470.40 – 460.60 = ₹ 9.80



  1. A shopkeeper marks the prices of his goods at 25% higher than the original price. After that, he allows a discount of 12% discount. What profit or loss did he get ?
    1. 15% profit
    2. 10% profit
    3. 10% loss
    4. 15% loss

  1. View Hint View Answer Discuss in Forum

    By question, Profit per cent or loss per cent.

    = + 25 − 12 −
    25 × 12
    = 10%
    100

    As the sign is +ve so, there is a profit of 10%.

    Correct Option: B

    By question, Profit per cent or loss per cent.

    = + 25 − 12 −
    25 × 12
    = 10%
    100

    As the sign is +ve so, there is a profit of 10%.