Profit and Loss


  1. The printed price of an article is 40% higher than its cost price. Then the rate of discount such that he gains 12% profit is









  1. View Hint View Answer Discuss in Forum

    Suppose C.P of article = Rs. 100
    ∴ Marked price = Rs. 140
    At 12% gain, S.P. = Rs. 112
    ∴ Discount = Marked price - S.P. of article
    ∴ Discount = 140 – 112 = Rs. 28
    If the rate of discount be y%, then
    140 × y% = 28

    140 × y
    = 28
    100

    Correct Option: D

    Suppose C.P of article = Rs. 100
    ∴ Marked price = Rs. 140
    At 12% gain, S.P. = Rs. 112
    ∴ Discount = Marked price - S.P. of article
    ∴ Discount = 140 – 112 = Rs. 28
    If the rate of discount be y%, then
    140 × y% = 28

    140 × y
    = 28
    100

    ⇒ y =
    28 × 100
    = 20%
    140


  1. A shopkeeper bought 30 kg of rice at the rate of Rs. 70 per kg and 20 kg of rice at the rate of Rs. 70.75 per kg. If he mixed the two brands of rice and sold the mixture at Rs. 80.50 per kg, his gain is









  1. View Hint View Answer Discuss in Forum

    As per the given in question ,
    C.P. of 50 kg of rice = Rs. (30 × 70 + 20 × 70.75)
    C.P. of 50 kg of rice = Rs. (2100 + 1415) = Rs. 3515
    S.P. of 50 kg. of rice = Rs. (50 × 80.50) = Rs. 4025
    ∴ Profit = S.P. of 50 kg. of rice - C.P. of 50 kg. of rice

    Correct Option: B

    As per the given in question ,
    C.P. of 50 kg of rice = Rs. (30 × 70 + 20 × 70.75)
    C.P. of 50 kg of rice = Rs. (2100 + 1415) = Rs. 3515
    S.P. of 50 kg. of rice = Rs. (50 × 80.50) = Rs. 4025
    ∴ Profit = S.P. of 50 kg. of rice - C.P. of 50 kg. of rice
    Profit = Rs. (4025 – 3515) = Rs. 510



  1. If the cost price of an item is (5 / 9) of its marked price and the profit is 20%, then the percentage of discount is









  1. View Hint View Answer Discuss in Forum

    Let Marked price of article = Rs. p

    ∴ C.P. of article = Rs.
    5p
    9

    If the rate of discount be q %, then
    From the question ,
    ∴ p × (100 – q)% = 120 % of
    5p
    9

    ⇒ 100 – q =
    5
    × 120
    9

    Correct Option: C

    Let Marked price of article = Rs. p

    ∴ C.P. of article = Rs.
    5p
    9

    If the rate of discount be q %, then
    From the question ,
    ∴ p × (100 – q)% = 120 % of
    5p
    9

    ⇒ 100 – q =
    5
    × 120
    9

    ⇒ 300 – 3q = 200
    ⇒ 3q = 300 – 200 = 100
    ⇒ q =
    100
    = 33
    1
    %
    33



  1. Rohit sold his car at 10% below the cost price to Amit. Amit got the car repaired and spent Rs. 5,000. He then sold the car to Rajesh at 20% above the total cost, which is equal to Rs. 1,00,000. Find the original price of the car (nearest to hundred).









  1. View Hint View Answer Discuss in Forum

    Suppose Original price of car = Rs. y

    C.P. of car for Amit =
    90 × y
    = Rs.
    9y
    10010

    Actual C.P. = Rs.9y + 5000
    10

    According to the question,
    9y + 5000 × 120 = 100000
    10100

    9y
    + 5000 =
    100000 × 100
    ≈ 83300
    10120


    Correct Option: C

    Suppose Original price of car = Rs. y

    C.P. of car for Amit =
    90 × y
    = Rs.
    9y
    10010

    Actual C.P. = Rs.9y + 5000
    10

    According to the question,
    9y + 5000 × 120 = 100000
    10100

    9y
    + 5000 =
    100000 × 100
    ≈ 83300
    10120

    9y
    ≈ 83300 - 5000 ≈ 78300
    10

    ⇒ y ≈
    78300 × 10
    ≈ Rs. 87000
    9



  1. A fruit seller buys 240 apples for Rs. 600. Some of these apples are bad and are thrown away. He sells the remaining apples at Rs. 3.50 each and makes a profit of Rs.198. The percent of apples thrown away are









  1. View Hint View Answer Discuss in Forum

    Here , C.P. of 240 apples = Rs. 600.

    C.P. of an apple =
    600
    = Rs. 2.5
    240

    S.P. of an apple = Rs. 3.5
    Total profit = Rs. 198
    Total S.P. = Rs. (600 + 198) = Rs. 798
    ∴ Number of apples sold =
    798
    = 228
    3.5

    ∴ Bad apples = 240 – 228 = 12

    Correct Option: C

    Here , C.P. of 240 apples = Rs. 600.

    C.P. of an apple =
    600
    = Rs. 2.5
    240

    S.P. of an apple = Rs. 3.5
    Total profit = Rs. 198
    Total S.P. = Rs. (600 + 198) = Rs. 798
    ∴ Number of apples sold =
    798
    = 228
    3.5

    ∴ Bad apples = 240 – 228 = 12
    ∴ Required percent =
    12
    × 100 = 5 %
    240