Class 8 Math Profit and Loss Questions & Answers

Class 8 Math Profit and Loss Questions & Answers

Profit and Loss CBSE Class 8th Questions with Answer:

  1. Wheat is cheaper than rice by 20%. By what percent rice costlier than wheat?

    Sol. Let the price of 1 unit rice = Rs 100
    Then the price of 1 unit of wheat = Rs (100-20) = Rs80
    On Rs 80     excess of price of rice = Rs20
    On Rs 100 excess of price of rice = (20/80    x 100) =  25. i.e., 25%
  2. Rice is costlier than wheat by 20%. By what percent is wheat cheaper than rice?

    Sol. Let the  price of 1 unit of wheat be Rs100
    Then the price of 1 unit of rice = (100+20) = Rs120
    On Rs.120, cheapness of wheat = Rs20
    On Rs 100 cheapness of wheat = ( 20/120   x 100) =  50/3 % = 16  2/3%
  3. If the cost price of 10 articles is equal to the selling price of 8 articles, find the gain or loss percent?

    Sol. Let the CP of each article be Re. 1
    Then CP of 8 articles = Rs 8
    SP of 8 articles = CP of 10 articles  = Rs 10.
    Gain = SP - CP = 10 - 08 = Rs. 2
    Gain =   2/8  x 100 = 25%
  4. If the cost price of 5 pens is equal to the SP of 6 pens find gain or loss % ?

    Sol. Let the CP of each pen be Rs1
    Then CP of 6 pens = Rs. 6.
    SP of 6 pens = CP of 5 pens.  =Rs5.
    Loss  = CP – SP = 6 – 5 = Re. 1
    Loss% = (  1/6  x 100) % = 16  2/3 %
  5. By selling 33 meters of cloth, one gains SP of 11 metres. Find the gain %.

    Sol. Sp of 33 m  —  CP of 33m  = gain
    SP of 33m  – CP of 33m =  SP of 11m
    SP of 33m - SP of 11m = CP of 33m
    SP of 22m = CP of 33m
    Let CP of  each meter be Rs1
    The CP of 22m = Rs22
    SP of 22m = CP of 33m = Rs 33
    Gain = SP -  CP Rs (33-22) = Re. 1
    Gain% =   11/22  x 100=50%
Problems for Practice:
  1.  The SP of 18 books is equal to the CP of 21 books. Find the gain or loss % ?
  2. The CP of 12 fans is equal the SP of 16 fans. Find the gain or loss % ?
  3. On selling 250 cassettes a man had a gain equal to the SP of 25 cassettes. Find gain or loss %?
  5. On selling 36 oranges, a vender loses the SP of  4 oranges. Find loss %?
  6. Hint : CP 36 oranges – SP of 36 oranges =  SP of 4 oranges.


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