The percentage profit earned by selling an article for ₹1,910 is equal to the percentage loss incurred by selling the same article for ₹1,690. At what price (in ₹) should the article be sold to make a 12% profit?
- A2,016
- B2,106
- C2,610
- D2,160
Solution & Step-by-step Explanation
Let the Cost Price (CP) of the article be x.
Since the percentage profit at ₹1,910 is equal to the percentage loss at ₹1,690, the absolute profit equals the absolute loss because the base (CP) is identical.
Profit=Loss
1910−x=x−1690
2x=1910+1690
2x=3600
x=1800
Thus, the Cost Price of the article is ₹1,800.
To make a 12% profit, the new selling price should be:
New SP=CP×(1+
100
Profit%
)
New SP=1800×(1+
100
12
)
New SP=1800×1.12=2016
The article should be sold at ₹2,016.
Since the percentage profit at ₹1,910 is equal to the percentage loss at ₹1,690, the absolute profit equals the absolute loss because the base (CP) is identical.
Profit=Loss
1910−x=x−1690
2x=1910+1690
2x=3600
x=1800
Thus, the Cost Price of the article is ₹1,800.
To make a 12% profit, the new selling price should be:
New SP=CP×(1+
100
Profit%
)
New SP=1800×(1+
100
12
)
New SP=1800×1.12=2016
The article should be sold at ₹2,016.