If the selling price of 10 chairs is the same as the cost price of 8 chairs, find the loss percentage.
- A22%
- B18%
- C20%
- D15%
Solution & Step-by-step Explanation
Given:
10×SP=8×CP
Rearranging the terms to find the ratio of CP to SP:
CP
SP
=
10
8
=
5
4
Let CP=5 and SP=4.
Since CP>SP, there is a loss:
Loss=CP−SP=5−4=1
The loss percentage is:
Loss %=(
CP
Loss
)×100
Loss %=(
5
1
)×100=20%
10×SP=8×CP
Rearranging the terms to find the ratio of CP to SP:
CP
SP
=
10
8
=
5
4
Let CP=5 and SP=4.
Since CP>SP, there is a loss:
Loss=CP−SP=5−4=1
The loss percentage is:
Loss %=(
CP
Loss
)×100
Loss %=(
5
1
)×100=20%