A shopkeeper sells goods at 82% loss on cost price but uses 28% less weight. What is his percentage profit or loss?
- A75% loss
- B75% profit
- C54% loss
- D54% 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.
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.