Question
Download Solution PDFWhat is the profit percentage when half the quantity of an article is sold at double the price?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Half the quantity of an article is sold at double the price of the whole cost price.
Calculations:
Let's assume total quantity of the article = 2 units
and cost Price (CP) of the whole article (2 units) = ₹100
Therefore, CP of 1 unit (half the quantity) = ₹50
According to the problem, half the quantity (1 unit) is sold at double the price of the whole cost price.
Selling Price (SP) of 1 unit = 2 × (CP of 2 units)
⇒ SP of 1 unit = 2 × ₹100
⇒ SP of 1 unit = ₹200
Profit on the sale of this 1 unit = SP of 1 unit - CP of 1 unit
⇒ Profit = ₹200 - ₹50
⇒ Profit = ₹150
Profit percentage = (Profit / CP of quantity sold) × 100
⇒ Profit percentage = (150 / 50) × 100
⇒ Profit percentage = 3 × 100
⇒ Profit percentage = 300%
∴ The profit percentage is 300%.
Last updated on Feb 11, 2025
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