Two articles were sold for Rs.3,000 each, with no loss and profit in the entire transaction. If one was sold at a profit of 25%, then the loss incurred on the second article is:
- A16
3
2
% - B10%
- C15
3
2
% - D18
3
2
%
Solution & Step-by-step Explanation
Total Selling Price (SP
total
)=3000+3000=Rs. 6,000.
Since there is no profit and no loss overall, Total Cost Price (CP
total
)=Rs. 6,000.
For the first article:
SP
1
=Rs. 3000
Profit=25%
CP
1
=
1+0.25
3000
=
1.25
3000
=Rs. 2400
Profit value=3000−2400=Rs. 600
For the overall transaction to have zero profit/loss, the loss on the second article must equal the profit on the first article:
Loss on second article=Rs. 600
Cost Price of the second article (CP
2
):
CP
2
=CP
total
−CP
1
=6000−2400=Rs. 3600
Loss percentage on the second article:
Loss %=(
CP
2
Loss
)×100%=
3600
600
×100%=
6
1
×100%=16
3
2
%
total
)=3000+3000=Rs. 6,000.
Since there is no profit and no loss overall, Total Cost Price (CP
total
)=Rs. 6,000.
For the first article:
SP
1
=Rs. 3000
Profit=25%
CP
1
=
1+0.25
3000
=
1.25
3000
=Rs. 2400
Profit value=3000−2400=Rs. 600
For the overall transaction to have zero profit/loss, the loss on the second article must equal the profit on the first article:
Loss on second article=Rs. 600
Cost Price of the second article (CP
2
):
CP
2
=CP
total
−CP
1
=6000−2400=Rs. 3600
Loss percentage on the second article:
Loss %=(
CP
2
Loss
)×100%=
3600
600
×100%=
6
1
×100%=16
3
2
%