Profit and Loss


  1. If a commission at the rate of 10% is given to a bookseller on the marked price of a book by the publisher, the publisher gains 20%. If the commission is increased to 15%, then the gain percent would be:









  1. View Hint View Answer Discuss in Forum

    Let Marked price of book = Rs. y
    and C.P. of a book = Rs. 100
    According to the question,

    y × 90
    = 120
    100

    ⇒ y =
    120 × 100
    = Rs.
    400
    903

    If commission be 15%, then
    S.P. =
    400
    ×
    85
    =
    340
    31003

    Correct Option: B

    Let Marked price of book = Rs. y
    and C.P. of a book = Rs. 100
    According to the question,

    y × 90
    = 120
    100

    ⇒ y =
    120 × 100
    = Rs.
    400
    903

    If commission be 15%, then
    S.P. =
    400
    ×
    85
    =
    340
    31003

    S.P. = Rs. 113.33
    Gain = 113.33 - 100 = 13.33
    ∴ Gain % = 13
    1
    %
    3


  1. A shopkeeper has 11 books of same cost price. He sells the first book at a certain price, then he sells second book at a price which is Rs. 1 less than the selling price of first book and then he sells third book at a price which is Rs. 1 less than the selling price of second book. Following this pattern, he sold all 11 books. If he sells sixth book at its cost price. Find the overall percent profit or loss on selling all 11 books.









  1. View Hint View Answer Discuss in Forum

    S.P. of first book = Rs. 6
    According to the question,
    Gain on first 5 books = 5 + 4 + 3 + 2 + 1 = 15
    Loss on last 5 books = 5 + 4 + 3 + 2 + 1 = 15

    Correct Option: D

    S.P. of first book = Rs. 6
    According to the question,
    Gain on first 5 books = 5 + 4 + 3 + 2 + 1 = 15
    Loss on last 5 books = 5 + 4 + 3 + 2 + 1 = 15
    Hence, No loss or gain .



  1. Simon purchased a bicycle for Rs. 6810. He had paid a VAT of 13.5%. The list price of the bicycle was









  1. View Hint View Answer Discuss in Forum

    Given that , CP of a bicycle = Rs. 6810
    Suppose Marked price of bicycle = Rs. y
    According to the question,
    y × 113.5% = 6810

    y × 113.5
    = 6810
    100

    Correct Option: A

    Given that , CP of a bicycle = Rs. 6810
    Suppose Marked price of bicycle = Rs. y
    According to the question,
    y × 113.5% = 6810

    y × 113.5
    = 6810
    100

    ⇒ y =
    6810 × 100
    = Rs. 6000
    113.5


  1. A man sells an article at 5% above its cost price. If he had bought it at 5% less than what he had paid for it and sold it at Rs. 2 less, he would have gained 10%. The cost price of the article is









  1. View Hint View Answer Discuss in Forum

    Suppose C.P. of article = Rs. y

    S.P. at 5% profit = Rs.105y = Rs.21y
    10020

    New C.P. of article =
    95y
    100

    New C.P. of article = Rs.
    19y
    20

    S.P. = Rs.19y ×110
    20100

    New C.P. of article = Rs.209y
    200

    According to the question ,
    21y
    -
    209y
    = 2
    20200

    Correct Option: B

    Suppose C.P. of article = Rs. y

    S.P. at 5% profit = Rs.105y = Rs.21y
    10020

    New C.P. of article =
    95y
    100

    New C.P. of article = Rs.
    19y
    20

    S.P. = Rs.19y ×110
    20100

    New C.P. of article = Rs.209y
    200

    According to the question ,
    21y
    -
    209y
    = 2
    20200

    210y - 209y
    = 2
    200

    y
    = 2
    200

    ⇒ y = Rs. 400



  1. A house worth Rs. 1,50,000 is sold by X to Y at 5% profit. Y sells the house back to X at 2% loss. Then in the entire transaction :









  1. View Hint View Answer Discuss in Forum

    On the basis of above given question ,
    at 5% profit ,

    C.P. for Y =
    150000 × 105
    = Rs. 157500
    100

    S.P. for Y at 2% loss =
    157500 × 98
    = Rs. 154350
    100

    Correct Option: A

    On the basis of above given question ,
    at 5% profit ,

    C.P. for Y =
    150000 × 105
    = Rs. 157500
    100

    S.P. for Y at 2% loss =
    157500 × 98
    = Rs. 154350
    100

    ∴ X’s gain = S.P. for Y - C.P. for Y
    ∴ X’s gain = Rs. (157500 – 154350)
    = Rs. 3150