The cost price of 10 apples is equal to the selling price of 20 apples. Find the loss or gain percentage.
- ALoss 50%
- BGain 10%
- CGain 20%
- DLoss 40%
Solution & Step-by-step Explanation
Let the Cost Price of 1 apple be CP and the Selling Price of 1 apple be SP.
According to the question:
10×CP=20×SP
SP
CP
=
10
20
=
1
2
This means if the Cost Price (CP) is 2, the Selling Price (SP) is 1.
Since SP
Loss=CP−SP=2−1=1
Now, calculate the loss percentage:
Loss Percentage=(
CP
Loss
)×100
Loss Percentage=(
2
1
)×100=50%
According to the question:
10×CP=20×SP
SP
CP
=
10
20
=
1
2
This means if the Cost Price (CP) is 2, the Selling Price (SP) is 1.
Since SP
Loss=CP−SP=2−1=1
Now, calculate the loss percentage:
Loss Percentage=(
CP
Loss
)×100
Loss Percentage=(
2
1
)×100=50%