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
By selling an article for Rs. 2,200, a profit of 10% is earned. If the same article is sold for Rs. 2,600, then what will be the gain percentage?
By selling an article for Rs. 640, a person loses 15% of its selling price. At what price (in Rs.) should he sell it to gain 15% on its cost price?
The selling prices of articles A and B are the same. A is sold at a profit of 28 percent and B is sold at a loss of 24 percent. If the total selling price of the both articles is Rs. 48640, then what is the cost price of A and B, respectively ?
The cost price of an article is Rs. 2800. Profit as a percentage of selling price is 20 percent. What is the actual profit (in Rs.) ?
A trader bought 640 kg of rice. He sold a part of rice at 20% profit and the rest at 5% loss. He earned a profit of 15% in the entire transaction. What is the quantity (in kg) of rice that he sold at 5% loss?
