By selling two articles for ₹800, a person gains the cost price of three articles. The profit percent is?Options125150140120
Question
By selling two articles for ₹800, a person gains the cost price of three articles. The profit percent is?
Options:
- 125
- 150
- 140
- 120
Solution
To solve this problem, we need to follow these steps:
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Let's assume the cost price of one article is x. So, the cost price of two articles would be 2x and the cost price of three articles would be 3x.
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According to the problem, by selling two articles for ₹800, a person gains the cost price of three articles. This means the selling price of two articles (₹800) is equal to the cost price of three articles plus the cost price of two articles. So, we can write this as: 800 = 3x + 2x.
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Simplifying the above equation gives us: 800 = 5x.
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Solving for x (the cost price of one article) gives us: x = 800 / 5 = ₹160.
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So, the cost price of two articles is 2x = 2 * 160 = ₹320.
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The profit made by selling two articles is the selling price of two articles minus the cost price of two articles, which is 800 - 320 = ₹480.
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The profit percent is calculated as (Profit / Cost price) * 100. So, the profit percent in this case is (480 / 320) * 100 = 150%.
So, the profit percent is 150%.
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