By selling an item for Rs. 3,750 a shopkeeper earned 25% profit. If the item had been sold for Rs. 300 more, then what would have been the profit percentage of the shopkeeper?
- A32
- B37.5
- C35
- D36
Solution & Step-by-step Explanation
Step 1: Find the original Cost Price (CP) of the item.
Selling Price (SP)
1
=3750
Profit%=25%
CP=
1+
100
Profit%
SP
1
=
1.25
3750
=Rs. 3000
Step 2: Calculate the new Selling Price (SP
2
).
SP
2
=SP
1
+300=3750+300=Rs. 4050
Step 3: Calculate the new profit percentage.
New Profit=SP
2
−CP=4050−3000=Rs. 1050
New Profit Percentage=(
3000
1050
)×100%=
3
105
%=35%
Selling Price (SP)
1
=3750
Profit%=25%
CP=
1+
100
Profit%
SP
1
=
1.25
3750
=Rs. 3000
Step 2: Calculate the new Selling Price (SP
2
).
SP
2
=SP
1
+300=3750+300=Rs. 4050
Step 3: Calculate the new profit percentage.
New Profit=SP
2
−CP=4050−3000=Rs. 1050
New Profit Percentage=(
3000
1050
)×100%=
3
105
%=35%