Discount


  1. A retailer buys a sewing machine at a discount of 15% and sells it for ₹ 1955. Thus he makes a profit of 15%. The discount is
    1. ₹ 270
    2. ₹ 290
    3. ₹ 300
    4. ₹ 310

  1. View Hint View Answer Discuss in Forum

    Marked price of sewing machine = Rs. x

    C.P. for the retailer =
    1955 × 100
    = Rs. 1700
    115

    ∴  x ×
    85
    = 1700
    100

    ⇒  x =
    1700 × 100
    = Rs. 2000
    85

    ∴  Discount = 2000 – 1700 = Rs. 300

    Correct Option: C

    Marked price of sewing machine = Rs. x

    C.P. for the retailer =
    1955 × 100
    = Rs. 1700
    115

    ∴  x ×
    85
    = 1700
    100

    ⇒  x =
    1700 × 100
    = Rs. 2000
    85

    ∴  Discount = 2000 – 1700 = Rs. 300


  1. A trader who marks his goods up to 50% offered a discount of 20%. What % profit the trader makes after offering the payment ?
    1. 30%
    2. 70%
    3. 20%
    4. 50%

  1. View Hint View Answer Discuss in Forum

    ∴  Required discount = 50 − 20 −
    50 × 20
    % = 20%
    100

    Detailed Method
    C.P. of article = Rs. 100
    Marked price = Rs. 150
    S.P. =
    150 × 80
    = Rs. 120
    100

    Gain per cent = 20%

    Correct Option: C

    ∴  Required discount = 50 − 20 −
    50 × 20
    % = 20%
    100

    Detailed Method
    C.P. of article = Rs. 100
    Marked price = Rs. 150
    S.P. =
    150 × 80
    = Rs. 120
    100

    Gain per cent = 20%



  1. If in a sale, the discount given on a saree is equal to one-fourth the marked price and the loss due to this discount is 15%, then the ratio of the cost price to the selling price is
    1. 3 : 4
    2. 4 : 3
    3. 10 : 17
    4. 20 : 17

  1. View Hint View Answer Discuss in Forum

    Let C.P. of article be = ₹ x

    ∴  S.P. =
    85x
    100

    ∴  Required ratio = x :
    85x
    = 100 : 85 = 20 : 17
    100

    Correct Option: D

    Let C.P. of article be = ₹ x

    ∴  S.P. =
    85x
    100

    ∴  Required ratio = x :
    85x
    = 100 : 85 = 20 : 17
    100


  1. X purchased an item at a discount of 10% and sold it to Y at 10% profit. The marked price and the price for which Y purchased the item are in ratio
    1. 1 : 1
    2. 10 : 99
    3. 20 : 99
    4. 100 : 99

  1. View Hint View Answer Discuss in Forum

    Marked price of article = ₹ x

    C.P. for X =
    90x
    = ₹
    9x
    10010

    C.P. for Y =
    9x × 110
    = ₹
    99x
    100100

    ∴  Required ratio = x :
    99x
    = 100 : 99
    100

    Correct Option: D

    Marked price of article = ₹ x

    C.P. for X =
    90x
    = ₹
    9x
    10010

    C.P. for Y =
    9x × 110
    = ₹
    99x
    100100

    ∴  Required ratio = x :
    99x
    = 100 : 99
    100



  1. The discount on a certain sum of money,
    due at the end of 2
    1
    years at 2
    2
    % p.a. is ₹ 78.
    43
    Find the sum.
    1. ₹ 1,278
    2. ₹ 1,300
    3. ₹ 1,378
    4. ₹ 1,400

  1. View Hint View Answer Discuss in Forum

    Sum =
    discount × 100
    time × rate

    =
    78 × 100
    9
    ×
    8
    43

    =
    78 × 100
    = ₹ 1300
    6

    Correct Option: B

    Sum =
    discount × 100
    time × rate

    =
    78 × 100
    9
    ×
    8
    43

    =
    78 × 100
    = ₹ 1300
    6