Question
Download Solution PDFThe profit earned by selling an article for ₹ 900 is twice the loss incurred by selling the same article for ₹ 450. At what price should the article be sold to make a profit of 25%?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Selling price when profit was earned = ₹900
Selling price when loss was incurred = ₹450
Concept:
Profit = Selling Price - Cost Price
Loss = Cost Price - Selling Price
Solution:
⇒ Profit when selling price is ₹900 = ₹900 - Cost Price
⇒ Loss when selling price is ₹450 = Cost Price - ₹450
⇒ From the given problem, the profit is twice the loss. Therefore, ₹900 - Cost Price = 2(Cost Price - ₹450)
⇒ Solving the above equation gives Cost Price = ₹600
⇒ Now we have to find the selling price to make a profit of 25%, so Selling Price = Cost Price + 25% of Cost Price
⇒ 600 + (600 × 25%)
⇒ 600 + 150 = 750
Therefore, the selling price should be ₹750.
Last updated on Jun 26, 2025
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