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1 mark

If the selling price of 45 articles is equal to the cost price of 50 articles, the loss or gain percentage is:

  1. A
    Gain:
    3
    50
    ​
    %
  2. B
    Loss:
    9
    50
    ​
    %
  3. C
    Loss:
    9
    100
    ​
    %
  4. D
    Gain:
    9
    100
    ​
    %

Solution & Step-by-step Explanation

Given relationship:
45×SP=50×CP
Rearranging to find the ratio of SP to CP:

CP
SP
​
=
45
50
​
=
9
10
​

Since SP>CP, there is a gain.
Let CP=9 and SP=10.

Gain=SP−CP=10−9=1
Gain Percentage=
CP
Gain
​
×100=
9
1
​
×100=
9
100
​
%

Practice this question

Try it yourself before checking the explanation above.

If the selling price of 45 articles is equal to the cost price of 50 articles, the loss or gain percentage is:
A
Gain:
3
50
​
%
B
Loss:
9
50
​
%
C
Loss:
9
100
​
%
D
Gain:
9
100
​
%

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