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A shopkeeper sells goods at 82% loss on cost price but uses 28% less weight. What is his percentage profit or loss?

  1. A
    75% loss
  2. B
    75% profit
  3. C
    54% loss
  4. D
    54% profit

Solution & Step-by-step Explanation

Let the actual cost price (CP) of 1000g of goods be Rs. 1000.
The shopkeeper sells it at an 82% loss on the cost price.

Selling Price (SP)=1000×(1−
100
82

)=1000×
100
18

=Rs. 180
However, he uses 28% less weight:

Weight actually given=1000×(1−
100
28

)=720g
The cost price of 720g of goods to the shopkeeper is:

Effective CP=Rs. 720
Now, we calculate the overall profit or loss percentage:

Loss=Effective CP−SP=720−180=Rs. 540
Loss %=(
Effective CP
Loss

)×100=(
720
540

)×100=
4
3

×100=75%
Thus, the shopkeeper incurs a 75% loss.

Practice this question

Try it yourself before checking the explanation above.

A shopkeeper sells goods at 82% loss on cost price but uses 28% less weight. What is his percentage profit or loss?
A
75% loss
B
75% profit
C
54% loss
D
54% profit

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