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If the selling price of 30 articles is equal to the cost price of 45 articles, the loss or gain per cent is:

  1. A
    25% gain
  2. B
    50% gain
  3. C
    40% loss
  4. D
    30% loss

Solution & Step-by-step Explanation

Given condition:
30×SP=45×CP
Finding the ratio of SP to CP:

CP
SP
​
=
30
45
​
=
2
3
​

This means if Cost Price (CP) = 2 units, then Selling Price (SP) = 3 units.
Since SP>CP, there is a gain.

Gain=SP−CP=3−2=1 unit
Gain percentage=(
CP
Gain
​
)×100%=
2
1
​
×100%=50%

Practice this question

Try it yourself before checking the explanation above.

If the selling price of 30 articles is equal to the cost price of 45 articles, the loss or gain per cent is:
A
25% gain
B
50% gain
C
40% loss
D
30% loss

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