The percentage profit earned by selling an article for Rs. 2,100 is equal to the percentage loss incurred by selling the same article for Rs. 1,460. At what price should the article be sold to make 20% profit?
- ARs. 2,156
- BRs. 2,056
- CRs. 2,136
- DRs. 2,256
Solution & Step-by-step Explanation
Let the Cost Price of the article be CP.
Since the percentage profit equals the percentage loss, the absolute profit equals the absolute loss because the base (CP) is the same.
Profit=Loss
2100−CP=CP−1460
2⋅CP=2100+1460
2⋅CP=3560
CP=1780
To make a 20% profit, the new selling price (SP) should be:
SP=CP×(1+
100
20
)
SP=1780×1.2=2136
Therefore, the article should be sold at Rs. 2,136.
Since the percentage profit equals the percentage loss, the absolute profit equals the absolute loss because the base (CP) is the same.
Profit=Loss
2100−CP=CP−1460
2⋅CP=2100+1460
2⋅CP=3560
CP=1780
To make a 20% profit, the new selling price (SP) should be:
SP=CP×(1+
100
20
)
SP=1780×1.2=2136
Therefore, the article should be sold at Rs. 2,136.