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ICSE-VIII-Mathematics

08: Profit, Loss and Discount Class 8 Maths

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    Section : A
  • Qstn #1
    Megha bought 10 note-books for Rs.40 and sold them at Rs.4.75 per note-book. Find, her gain percent.
    Ans : C.P. of 10 note-books = Rs. 40
    S.P. of 10 note-books@ Rs. 4.75 per note-book
    = 4.75 × 10
    = Rs. 47.50
    Gain = S.P. - C.P.
    = Rs 47.50 - Rs 40 = Rs 7.50
    Gain% = Gain/C.P. × 100
    = 7.50/40 × 100
    = 750/40%
    = 75/4%
    = 18 3/4%
  • Qstn #2
    A fruit-seller buys oranges at 4 for Rs.3 and sells them at 3 for Rs.4 Find his profit percent.
    Ans : Let number of oranges bought = 12
    [Note: L.C.M. of 4 and 3 = 12]
    ∴ C.P. of oranges = Rs. ¾ × 12 = Rs. 9
    And S.P. of oranges = Rs. 4/3 × 12
    = Rs. 16
    ∴ Profit = 16 - 9
    = Rs. 7
    Profit % = Profit/C.P. × 100
    = 7/9 × 100
    = 700/9%
    = 77 7/9%
  • Qstn #3
    A man buys a certain number of articles at 15 for Rs. 112.50 and sells them at 12 for Rs.108. Find:
    Ans : Let number of articles bought = 60
    Note: L.C.M of articles bought = 60
    Note: L.C.M. of 15 and 12 = 60
    ∴ C.P. of the articles = Rs. (112.50/15 × 60)
    = Rs. (112.50 × 60)/15
    = 112.50 × 4
    = Rs. 450.00
    And S.P. of the articles = Rs. 108/12 × 60
    = Rs. 108 × 5
    = Rs. 540
  • #3-i
    his gain as percent;
    Ans : Gain = S.P. - C.P.
    = Rs. 540 - Rs 450
    = Rs. 90
    ∴ Gain = Gain/C.P. × 100
    = 90/450 × 100
    = 100/5
    = 20%
  • #3-ii
    the number of articles sold to make a profit of Rs.75.
    Ans : To make a profit of Rs. 90, the number of articles needed to be sold = 60
    To make a profit of Re. 1 the number of articles needed to be sold = 60/90
    To make a profit of Rs. 75, the number of articles needed to be sold = 60/90 × 75
    = 4500/90
    = 50
  • Qstn #4
    A boy buys an old bicycle for Rs. 162 and spends Rs. 18 on its repairs before selling the bicycles for Rs. 207. Find his gain or loss percent.
    Ans : Buying price of the old bicycle = Rs. 162
    Money spent on repairs = Rs. 18
    Real C.P. of the bicycle = 162 + 18 = Rs. 180
    S.P. of the bicycle = Rs 207
    Profit = S.P. - C.P. = 207 - 162
    = Rs. 45
    Gain% = Profit/C.P. × 100
    = 45/180 × 100
    = 100/4
    = 25%
  • Qstn #5
    An article is bought from Jaipur for Rs. 4,800 and is sold in Delhi for Rs. 5,820. If Rs. 1,200 is spent on its transportations, etc. ; find he loss or the gain as percent.
    Ans : Cost price = Rs, 4,800
    Selling Price = Rs 5,820
    Transport etc. charges = Rs. 1,200
    Total cost price = Rs. 4,800 + Rs. 1,200 = Rs.6,000
    Loss = Rs. 6000 - Rs. 5820
    = Rs. 180
    ∴ Loss % = 180/6000 × 100
    = 3%
  • Qstn #6
    Mohit sold a T.V. for Rs. 3,600; gaining one-sixth of its selling price. Find :
    Ans : S.P. of T.V. = Rs. 3,600
    Gain = 1/6 of (3600) = 1/6 × 3600
    = Rs. 600
  • #6-i
    the gain
    Ans : Thus gain = Rs. 600
  • #6-ii
    the cost price of the T.V.
    Ans : Cost Price = 3600 - 600
    = Rs. 3000
  • #6-iii
    the gain percent.
    Ans : Gain % = 600/3000 × 100
    = 60/3
    = 20%
  • Qstn #7
    By selling a certain number of goods for Rs. 5,500; a shopkeeper loses equal to one-tenth of their selling price. Find :
    Ans : S.P. = Rs. 5,500
    Loss = 1/10 of (S.P.) = 1/10 × 5500
    = Rs. 550
  • #7-i
    the loss incured
    Ans : Loss incurred = Rs. 550
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