Discount


  1. What price should a shopkeeper mark on an article costing him ₹ 200 to gain 35% after allowing a discount of 25% ?
    1. ₹ 270
    2. ₹ 300
    3. ₹ 330
    4. ₹ 360

  1. View Hint View Answer Discuss in Forum

    Let the marked price be p.

    ∴ 
    p × 75
    = 200 ×
    135
    100100

    ⇒  p =
    200 × 135
    = ₹ 360
    75

    2nd method to solve this question.
    Here, r = 25%, R = 35%,
    C.P. = ₹ 200
    Marked price = Rs. 200 + 200 ×
    r + R
    × 100 %
    100 − r

    Correct Option: D

    Let the marked price be p.

    ∴ 
    p × 75
    = 200 ×
    135
    100100

    ⇒  p =
    200 × 135
    = ₹ 360
    75

    2nd method to solve this question.
    Here, r = 25%, R = 35%,
    C.P. = ₹ 200
    Marked price = Rs. 200 + 200 ×
    r + R
    × 100 %
    100 − r

    = 200 + 200 ×
    25 + 35
    % × 100
    100 − 25

    = 200 +
    200 × 60
    × 100%
    75

    = 200 +
    200 × 20 × 4
    100

    Hence Marked price = 200 + 160 = ₹ 360


  1. A tradesman marks his goods at 25% above its cost price and allows purchasers a discount of
    12
    1
    % for cash payment. The profit, he thus makes, is
    2
    1. 9
      3
      %
      8
    2. 9
      1
      %
      2
    3. 8
      1
      %
      2
    4. 8
      3
      %
      8

  1. View Hint View Answer Discuss in Forum

    Let the cost price of article = 100
    ∴  Marked price = ₹ 125

    SP of the article = 100 −
    25
    % of 125
    2

    SP of the article =
    175
    % of 125
    2

    SP of the article =
    125 × 175
    =
    875
    2 × 1008

    S.P. = ₹ 109
    3
    8

    ∴  Gain percent = 109
    3
    − 100 = 9
    3
    %
    88

    2nd method to solve this question.
    Here, r = 25%,
    r1 = 12
    1
    % = 12.5 %
    2

    Correct Option: A

    Let the cost price of article = 100
    ∴  Marked price = ₹ 125

    SP of the article = 100 −
    25
    % of 125
    2

    SP of the article =
    175
    % of 125
    2

    SP of the article =
    125 × 175
    =
    875
    2 × 1008

    S.P. = ₹ 109
    3
    8

    ∴  Gain percent = 109
    3
    − 100 = 9
    3
    %
    88

    2nd method to solve this question.
    Here, r = 25%,
    r1 = 12
    1
    % = 12.5 %
    2

    Profit % =
    r × (100 − r1)
    − r1
    100

    Profit % =
    25 × (100 − 12.5)
    − 12.5
    100

    Profit % =
    25 × 87.5
    − 12.5
    100

    Profit % = 21.875 – 12.5 = 9.375
    Required Profit % = 9
    3
    %
    8



  1. A seller marks his goods 30% above their cost price but allows 15% discount for cash payment. His percentage of profit when sold in cash is
    1. 10.5%
    2. 15%
    3. 9%
    4. 8.5%

  1. View Hint View Answer Discuss in Forum

    Let the C.P. be ₹ 100
    ∴  Marked price = ₹ 130

    S.P. = 85% of ₹ 130 = ₹
    85 × 130
    = ₹ 110.5
    100

    ∴  Gain percent = 10.5%
    2nd method to solve this question.
    Here, r = 30%, r1 = 15%
    Profit % =
    r × (100 − r1)
    − r1
    100

    Correct Option: A

    Let the C.P. be ₹ 100
    ∴  Marked price = ₹ 130
    S.P. = 85% of ₹ 130

    = ₹
    85 × 130
    = ₹ 110.5
    100

    ∴  Gain percent = 10.5%
    2nd method to solve this question.
    Here, r = 30%, r1 = 15%
    Profit % =
    r × (100 − r1)
    − r1
    100

    Profit % =
    30 × (100 − 15)
    − 15
    100

    Profit % =
    30 × 85
    − 15
    100

    Required Profit % = 25.5 – 15 = 10.5%


  1. A shopkeeper marks his sarees at 20% above the cost price and allows the purchaser a discount of 10% for cash buying. What profit percent does he make?
    1. 18%
    2. 12%
    3. 10%
    4. 8%

  1. View Hint View Answer Discuss in Forum

    As we know that ,

    Gain % = a − b −
    a × b
    100

    Gain % = 20 − 10 −
    20 × 10
    100

    2nd method to solve this question .
    Here, r = 20%, r1 = 10%

    Correct Option: D

    As we know that ,

    Gain % = a − b −
    a × b
    100

    Gain % = 20 − 10 −
    20 × 10
    100

    2nd method to solve this question .
    Here, r = 20%, r1 = 10%
    Profit or loss =
    r × (100 − r1)
    − r1
    100

    Profit or loss =
    20 × (100 − 10)
    − 10
    100

    Required Profit or loss = 18 – 10 = 8% profit.



  1. A shopkeeper marks his goods 20% above cost price, but allows 30% discount for cash. His net loss is :
    1. 8%
    2. 10%
    3. 16%
    4. 20%

  1. View Hint View Answer Discuss in Forum

    Let the cost price be p Mark Price

    = 1 +
    20
    p = 1.2p
    100

    Cash price = 1 −
    30
    1.2p
    100

    = 0.7 × 1.2p = 0.84p
    Net Loss = p – 0.84p = 0.16p
    ∴  Net loss% =
    0.16p
    × 100 = 16%
    p

    2nd method to solve this question.
    Here, r = 20%, r1 = 30%
    Profit or loss =
    r ×(100 − r1)
    −r1
    100

    Correct Option: C

    Let the cost price be p Mark Price

    = 1 +
    20
    p = 1.2p
    100

    Cash price = 1 −
    30
    1.2p
    100

    = 0.7 × 1.2p = 0.84p
    Net Loss = p – 0.84p = 0.16p
    ∴  Net loss% =
    0.16p
    × 100 = 16%
    p

    2nd method to solve this question.
    Here, r = 20%, r1 = 30%
    Profit or loss =
    r ×(100 − r1)
    −r1
    100

    Profit or loss =
    20 × (100 − 30)
    − 30
    100

    Profit or loss= 14 – 30 = –16%
    Required Profit or loss = 16% loss