A shopkeeper sold pistachios at the rate Rs. 1140 a kg and bears a loss of 5%. Now if he decides to sell it at Rs. 1260 per kg, what will be the result?
- A10 percent gain
- B5 percent gain
- C5 percent loss
- D10 percent loss
Solution & Step-by-step Explanation
Let the Cost Price (CP) per kg be Rs. x.
Given that selling at Rs. 1140 results in a 5% loss:
Selling Price (SP)
1
=CP×(100%−Loss%)
1140=x×0.95
x=
0.95
1140
=1200
So, the Cost Price of the pistachios is Rs. 1200/kg.
Now, the new Selling Price (SP
2
) is Rs. 1260/kg.
Profit=SP
2
−CP=1260−1200=Rs. 60
Profit Percentage=(
CP
Profit
)×100%
Profit Percentage=(
1200
60
)×100%=5%
Therefore, the result is a 5% gain.
Given that selling at Rs. 1140 results in a 5% loss:
Selling Price (SP)
1
=CP×(100%−Loss%)
1140=x×0.95
x=
0.95
1140
=1200
So, the Cost Price of the pistachios is Rs. 1200/kg.
Now, the new Selling Price (SP
2
) is Rs. 1260/kg.
Profit=SP
2
−CP=1260−1200=Rs. 60
Profit Percentage=(
CP
Profit
)×100%
Profit Percentage=(
1200
60
)×100%=5%
Therefore, the result is a 5% gain.