Discount


  1. While selling a shirt, a shopkeeper gives a discount of 7%. If he gives discount of 9% he earns Rs. 15 less on profit. The marked price of the shirt is
    1. Rs. 712
    2. Rs. 787
    3. Rs. 750
    4. Rs. 697

  1. View Hint View Answer Discuss in Forum

    Let the marked price of article be Rs. y.
    According to the question,
    (9 – 7)% of y = 15
    ⇒ 2% of y = 15

    ⇒  y ×
    2
    = 15
    10

    Correct Option: C

    Let the marked price of article be Rs. y.
    According to the question,
    (9 – 7)% of y = 15
    ⇒ 2% of y = 15

    ⇒  y ×
    2
    = 15
    10

    ⇒  y =
    15 × 100
    = Rs. 750
    2


  1. A trader marks his goods in such a way that after allowing a discount of 10% he gains 15%. If an article costs him Rs. 720, his marked price is
    1. Rs.920
    2. Rs.900
    3. Rs.820
    4. Rs.950

  1. View Hint View Answer Discuss in Forum

    Here , cost price of article = Rs. 720
    Let the marked price of article be Rs. y.
    discount = 10% and gain = 15%
    According to the question,
    90% of y = 720 × 115%

    ⇒  y ×
    90
    = 720 ×
    115
    100100

    Correct Option: A

    Here , cost price of article = Rs. 720
    Let the marked price of article be Rs. y.
    discount = 10% and gain = 15%
    According to the question,
    90% of y = 720 × 115%

    ⇒  y ×
    90
    = 720 ×
    115
    100100

    ⇒  y =
    115 × 720
    = Rs. 920
    90



  1. A dealer marks his goods 20% above their cost prices. Then, he allows such a discount on the marked price so that he makes a profit of 8%. The rate of discount is :
    1. 12%
    2. 10%
    3. 6%
    4. 4%

  1. View Hint View Answer Discuss in Forum

    Let the C.P. of article be Rs. 100.
    ∴  Its marked price = Rs. 120
    Let the rate of discount be y%
    At 8% profit , S.P. of article = 100 + 8 = Rs. 108
    According to the question,
    y% of 120 = Marked price - S.P. of article
    ⇒ y% of 120 = 120 – 108

    Correct Option: B

    Let the C.P. of article be Rs. 100.
    ∴  Its marked price = Rs. 120
    Let the rate of discount be y%
    At 8% profit , S.P. of article = 100 + 8 = Rs. 108
    According to the question,
    y% of 120 = Marked price - S.P. of article
    ⇒ y% of 120 = 120 – 108

    ⇒ 
    120 × y
    = 12
    100

    ⇒  y =
    12 × 100
    = 10%
    120


  1. A merchant marked cloth at Rs. 50 per metre . He offers two successive discounts of 15% and 20%. The net price per metre of cloth is :
    1. Rs. 32.50
    2. Rs. 42.50
    3. Rs. 34.00
    4. Rs. 40.00

  1. View Hint View Answer Discuss in Forum

    As we know that ,

    Single equivalent discount for a% and b% = a + b -
    a × b
    %
    100

    Here , a = 20% , b = 15%
    Single equivalent discount = 20 + 15 -
    20 × 15
    %
    100

    = (35 - 3)% = 32%
    ∴  Net rate of cloth = (100 – 32)% of Rs. 50

    Correct Option: C

    As we know that ,

    Single equivalent discount for a% and b% = a + b -
    a × b
    %
    100

    Here , a = 20% , b = 15%
    Single equivalent discount = 20 + 15 -
    20 × 15
    %
    100

    = (35 - 3)% = 32%
    ∴  Net rate of cloth = (100 – 32)% of Rs. 50
    Net rate of cloth = Rs.
    50 × 68
    per metre
    100

    ∴ Net rate of cloth = Rs. 34 per metre



  1. A man bought a watch for 10% discount. If he had bought for 20% discount he would have got the watch for Rs. 125 less . The marked price of the watch is
    1. Rs. 2500
    2. Rs.1250
    3. Rs. 3750
    4. Rs.1000

  1. View Hint View Answer Discuss in Forum

    Let the marked price of watch be Rs. y.
    According to the question,
    (20 – 10)% of y = 125
    ⇒ 10% of y = 125

    Correct Option: B

    Let the marked price of watch be Rs. y.
    According to the question,
    (20 – 10)% of y = 125
    ⇒ 10% of y = 125

    ⇒  y ×
    10
    = 125
    100

    ⇒  y = Rs. 1250