Question
Download Solution PDFThe 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?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
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.
Formula Used:
Let the cost price be C.
Profit = Selling Price - Cost Price
Loss = Cost Price - Selling Price
Percentage Profit = (Profit / Cost Price) × 100
Percentage Loss = (Loss / Cost Price) × 100
Calculation:
Let the cost price be C.
Given: Percentage Profit = Percentage Loss
\( \frac{1910 - C}{C} × 100 = \frac{C - 1690}{C} × 100 \)
⇒ 1910 - C = C - 1690
⇒ 1910 + 1690 = 2C
⇒ 3600 = 2C
⇒ C = 1800
To find the selling price for a 12% profit:
Selling Price = Cost Price + Profit
Profit = 12% of Cost Price
Profit = 0.12 × 1800
Profit = 216
Selling Price = 1800 + 216
Selling Price = 2016
The selling price to make a 12% profit is ₹2016.
Last updated on Jun 3, 2025
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