A shopkeeper sold 6 shirts of company A for ₹4,290 at 10% profit and 8 shirts of company B for ₹6,156 at 14% profit. What was his profit percentage (correct to 2 decimal places)?
- A12.32%
- B12%
- C12.50%
- D12.75%
Solution & Step-by-step Explanation
Let's find the total Cost Price (CP) and total Selling Price (SP).
For Company A shirts:
Total SP
A
=₹4290
Profit = 10%
CP
A
=
1.10
4290
=₹3900
Profit
A
=4290−3900=₹390
For Company B shirts:
Total SP
B
=₹6156
Profit = 14%
CP
B
=
1.14
6156
=₹5400
Profit
B
=6156−5400=₹756
Total Transaction calculations:
Total Cost Price (CP)=3900+5400=₹9300
Total Profit=390+756=₹1146
Overall Profit Percentage:
Profit %=
Total CP
Total Profit
×100
Profit %=
9300
1146
×100=
93
1146
≈12.3225%
Rounding to two decimal places, we get 12.32%.
For Company A shirts:
Total SP
A
=₹4290
Profit = 10%
CP
A
=
1.10
4290
=₹3900
Profit
A
=4290−3900=₹390
For Company B shirts:
Total SP
B
=₹6156
Profit = 14%
CP
B
=
1.14
6156
=₹5400
Profit
B
=6156−5400=₹756
Total Transaction calculations:
Total Cost Price (CP)=3900+5400=₹9300
Total Profit=390+756=₹1146
Overall Profit Percentage:
Profit %=
Total CP
Total Profit
×100
Profit %=
9300
1146
×100=
93
1146
≈12.3225%
Rounding to two decimal places, we get 12.32%.