A vendor buys oranges at the rate of 5 for Rs 6 and sells at the rate of 2 for Rs 3. What will be the result?
- A25 percent loss
- B25 percent gain
- C20 percent gain
- D20 percent loss
Solution & Step-by-step Explanation
Let's consider a common number of oranges to simplify the calculation, for example, LCM(5,2)=10 oranges.
Cost Price (CP) for 5 oranges = Rs 6
CP for 10 oranges = (
5
6
)×10=Rs 12
Selling Price (SP) for 2 oranges = Rs 3
SP for 10 oranges = (
2
3
)×10=Rs 15
Since SP>CP, it's a gain.
Gain=SP−CP=15−12=Rs 3
Gain %=(
CP
Gain
)×100=(
12
3
)×100=25%
Cost Price (CP) for 5 oranges = Rs 6
CP for 10 oranges = (
5
6
)×10=Rs 12
Selling Price (SP) for 2 oranges = Rs 3
SP for 10 oranges = (
2
3
)×10=Rs 15
Since SP>CP, it's a gain.
Gain=SP−CP=15−12=Rs 3
Gain %=(
CP
Gain
)×100=(
12
3
)×100=25%