Profit and Loss

Profit and Loss

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Aptitude miscellaneous
  1. The ratio of cost price and selling price is 5 : 4, the loss percent is :








  1. View Hint View Answer Discuss in Forum

    Here , cost price : selling price = 5 : 4
    According to the question

    Cost price
    		 =
    5

    Selling price4

    ∴ Selling price =
    4
    		 × Cost price
    5

    Loss = Cost price – Selling price
    Loss = Cost price –
    4
    		 Cost price
    5

    Loss =
    1
    		 Cost price
    5

    ∴ Loss % =
    (1 / 5) cost price × 100
    		 =
    100
    		 = 20%
    cost price5

    Second method to solve this question :
    $ 1 is loss on $ 5.

    Correct Option: A

    Here , cost price : selling price = 5 : 4
    According to the question

    Cost price
    		 =
    5

    Selling price4

    ∴ Selling price =
    4
    		 × Cost price
    5

    Loss = Cost price – Selling price
    Loss = Cost price –
    4
    		 Cost price
    5

    Loss =
    1
    		 Cost price
    5

    ∴ Loss % =
    (1 / 5) cost price × 100
    		 =
    100
    		 = 20%
    cost price5

    Second method to solve this question :
    $ 1 is loss on $ 5.
    ∴ loss % =
    1
    		 × 100 = 20%
    5

    We can find required answer with the help of given formula :
    Here, C.P. = 5k, S.P. = 4k
    loss % =
    Loss
    		 × 100
    C.P.

    loss % =
    5k - 4k
    		 × 100 = 20%
    5k

  1. A man sells an article at 15% profit. If he had sold it for Rs. 6 more, he would have gained 18%. The man bought the article for








  1. View Hint View Answer Discuss in Forum

    Let the C.P. of article be Rs. y.
    According to the question ,
    (118 – 115)% of y = 6

    ⇒
    y × 3
    		 = 6
    100

    Correct Option: C

    Let the C.P. of article be Rs. y.
    According to the question ,
    (118 – 115)% of y = 6

    ⇒
    y × 3
    		 = 6
    100

    ⇒ y =
    600
    		 = Rs. 200
    3

  1. A man bought 25 crates of oranges for Rs. 10,000. He lost 5 crates. In order to earn a total profit of 25% of the total cost, he would have to sell each of the remaining crates at








  1. View Hint View Answer Discuss in Forum

    Given in question , Five crates out of 25 crates of oranges were lost.
    ∴ C.P. of 20 crates of oranges = Rs. 10000

    S.P. of 20 crates of oranges = Rs.
    10000 × 125
    		= Rs. 12500
    100

    Correct Option: B

    Given in question , Five crates out of 25 crates of oranges were lost.
    ∴ C.P. of 20 crates of oranges = Rs. 10000

    S.P. of 20 crates of oranges = Rs.
    10000 × 125
    		= Rs. 12500
    100

    ∴ S.P. per crate =
    12500
    		 = Rs. 625
    20

  1. Kamal has some apples. He sold 40% more than he ate. If he sold 70 apples, how many did he eat?








  1. View Hint View Answer Discuss in Forum

    Let Kamal eat y apples.
    According to the question,

    y ×
    140
    		 = 70 ⇒
    14y
    		 = 70
    10010

    Correct Option: C

    Let Kamal eat y apples.
    According to the question,

    y ×
    140
    		 = 70 ⇒
    14y
    		 = 70
    10010

    ⇒ y =
    70 × 10
    		 = 50
    14

  1. A man bought 30 defective machines for Rs. 1000. He repaired and sold them at the rate of Rs. 300 per machine. He got profit of Rs. 150 per machine. How much did he spend on repairs? (in Rupees)








  1. View Hint View Answer Discuss in Forum

    Given that , C.P. of 30 defective machines = Rs. 1000.
    Let total expenditure on repairing be Rs. y.
    ∴ Actual C.P. = Rs. (1000 + y)
    S.P. of 1 defective machine = Rs. 300
    ∴ Total S.P. of 30 defective machines = Rs. (300 × 30) = Rs. 9000
    Total profit = Rs. (150 × 30) = Rs. 4500

    Correct Option: C

    Given that , C.P. of 30 defective machines = Rs. 1000.
    Let total expenditure on repairing be Rs. y.
    ∴ Actual C.P. = Rs. (1000 + y)
    S.P. of 1 defective machine = Rs. 300
    ∴ Total S.P. of 30 defective machines = Rs. (300 × 30) = Rs. 9000
    Total profit = Rs. (150 × 30) = Rs. 4500
    ∴ 9000 – (1000 + y) = 4500
    ⇒ 1000 + y = 9000 – 4500 = 4500
    ⇒ y = 4500 – 1000 = Rs. 3500