Profit Percent Calculation
Let the cost price (CP) of one article be $C$ and the selling price (SP) of one article be $S$.
The problem states that the cost price of 15 articles is equal to the selling price of 12 articles. We can write this relationship as:
$15 \times C = 12 \times S$
To find the profit percent, we first need to relate the selling price ($S$) to the cost price ($C$). Rearranging the equation:
$S = \frac{15}{12} \times C$
Simplifying the fraction gives:
$S = \frac{5}{4} \times C$
Profit is the difference between the selling price and the cost price ($Profit = S - C$). Substituting the expression for $S$:
$Profit = (\frac{5}{4} \times C) - C$
$Profit = (\frac{5}{4} - 1) \times C$
$Profit = \frac{1}{4} \times C$
The profit percent is calculated based on the cost price using the formula: $Profit Percent = (\frac{Profit}{CP}) \times 100$.
$Profit Percent = (\frac{\frac{1}{4} \times C}{C}) \times 100$
The $C$ terms cancel out:
$Profit Percent = \frac{1}{4} \times 100$
$Profit Percent = 25\%$
The profit percent is 25%.
Similar Questions
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Important Questions from Profit and Loss
Ram bought a chair at 35% discount on its market price, Had Ram got no discount, he would have had to pay ₹245 more. How much did Ram pay for the chair?
A shopkeeper bought an item for Rs. 4,500 and sold it at a loss of 5%. From this money, he bought another item and sold it at a profit of 10%. What is his overall profit?
A man sells two articles at Rs. 9,180 each. He gains 8% on one article and loses 15% on the other. His overall profit or loss is:
A shopkeeper selling an article for ₹46 loses 8%. In order to gain 6%, what should be the selling price of the article?
Rahul purchased 80 items from the market. 25% items of the total items were defective and the remaining items were sold at 50% profit. What will be the overall profit percentage?
