Reyan purchased a laptop for ₹56,000 and a scanner-cum-printer for ₹22,000. He sold the laptop for a 20% profit and the scanner-cum-printer for a 15% profit. What is his overall profit percentage?
- A12
39
23
% - B18
39
23
% - C18
37
21
% - D12
37
21
%
Solution & Step-by-step Explanation
Let's first calculate the total cost price (CP) and the total profit earned.
CP of laptop=₹56,000
CP of scanner-cum-printer=₹22,000
Total CP=56,000+22,000=₹78,000
Now, calculating profit from each item:
Profit on laptop=20% of 56,000=
100
20
×56,000=₹11,200
Profit on scanner-cum-printer=15% of 22,000=
100
15
×22,000=₹3,300
Total Profit=11,200+3,300=₹14,500
Calculating overall profit percentage:
Profit Percentage=
Total CP
Total Profit
×100
Profit Percentage=
78,000
14,500
×100=
78
1450
=
39
725
%
Converting to mixed fraction:
725÷39=18 with a remainder of 23
Profit Percentage=18
39
23
%
CP of laptop=₹56,000
CP of scanner-cum-printer=₹22,000
Total CP=56,000+22,000=₹78,000
Now, calculating profit from each item:
Profit on laptop=20% of 56,000=
100
20
×56,000=₹11,200
Profit on scanner-cum-printer=15% of 22,000=
100
15
×22,000=₹3,300
Total Profit=11,200+3,300=₹14,500
Calculating overall profit percentage:
Profit Percentage=
Total CP
Total Profit
×100
Profit Percentage=
78,000
14,500
×100=
78
1450
=
39
725
%
Converting to mixed fraction:
725÷39=18 with a remainder of 23
Profit Percentage=18
39
23
%