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You are here: Home / Question and Answers

The cost price of 20 articles is the same as the selling price of x articles. If the profit is 25%, find out the value of x

A. 

13

B. 

14

C. 

15

D. 

16

Answer
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Answer with explanation

Answer: Option D

Explanation

We have 3 elements here CP-cost price, SP-selling price, and profit percentage Profit%.
So the equations relating them are:

  • Profit=SP-CP (for loss its CP-SP)
  • Profit%=((SP-CP)/CP)*100

Solution:
Since we don’t know the cost of the article it is ok to assume a value initially.
Let the CP of each article =1 unit.
CP of 20 articles =20 units
SP of x articles=CP of 20 articles= 20 units
SP of 1 article = 20/x
using formula Profit%=((SP-CP)/CP)*100 for 1 article as profit% is a constant for each article.
25=[(20-x)/x)]*100
=> 25x/100 = 20-x
=> x/4 = 20-x
=> 5x=80
solving we get x=16 units.

(OR)
Profit%= (purchased qty – selleing qty)/selling qty × 100
25=(20-x)/x *100
1/4=(20-x)/x
x=80–4x
5x=80
x=16

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Comments

  1. chandana says

    March 5, 2020 at 6:08 pm

    can tell me how

    Reply
    • Saran Harika says

      March 6, 2020 at 10:50 am

      Profit%= (purchased qty – selleing qty)/selling qty × 100
      25=(20-x)/x *100
      1/4=(20-x)/x
      x=80–4x
      5x=80
      x=16

      Reply
  2. chandana says

    March 5, 2020 at 6:09 pm

    can you tell me how

    Reply
    • Saran Harika says

      March 6, 2020 at 10:49 am

      We have 3 elements here CP-cost price, SP-selling price, and profit percentage Profit%.
      So the equations relating them are:

      Profit=SP-CP (for loss its CP-SP)
      Profit%=((SP-CP)/CP)*100

      Solution:
      Since we don’t know the cost of the article it is ok to assume a value initially.
      Let the CP of each article =1 unit.
      CP of 20 articles =20 units
      SP of x articles=CP of 20 articles= 20 units
      SP of 1 article = 20/x
      using formula Profit%=((SP-CP)/CP)*100 for 1 article as profit% is a constant for each article.
      25=[(20-x)/x)]*100
      => 25x/100 = 20-x
      => x/4 = 20-x
      => 5x=80
      solving we get x=16 units.

      Reply

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