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The cost price of 20 articles is the same as the selling price of x articles. If the profit is 25%, then the value of x is
- a)25
- b)18
- c)15
- d)16
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
The cost price of 20 articles is the same as the selling price of x ar...
Let C.P. of each article be Re. 1 C.P. of x articles = Rs. x.
S.P. of x articles = Rs. 20.
Profit = Rs. (20 - x).
20 - x x 100 = 25
x
2000 - 100x = 25x
125x = 2000
x = 16.
S.P. of x articles = Rs. 20.
Profit = Rs. (20 - x).
20 - x x 100 = 25
x
2000 - 100x = 25x
125x = 2000
x = 16.
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Community Answer
The cost price of 20 articles is the same as the selling price of x ar...
Understanding the Problem
The problem states that the cost price of 20 articles equals the selling price of x articles, and there is a profit of 25%. Let's break this down step by step.
Definitions and Formulas
- Cost Price (CP): The price at which an article is purchased.
- Selling Price (SP): The price at which an article is sold.
- Profit Percentage: Profit is calculated as (SP - CP) / CP * 100.
Given that the profit is 25%, we can express this as:
- SP = CP + (25% of CP) = CP * (1 + 0.25) = 1.25 * CP.
Calculating Cost Price and Selling Price
1. Let CP of one article be 'C'.
2. Total CP of 20 articles = 20 * C = 20C.
3. SP of x articles = x * SP of one article = x * (1.25 * C).
According to the problem, we have:
- 20C = x * (1.25 * C).
Simplifying the Equation
1. Divide both sides by C (assuming C is not zero):
20 = 1.25x.
2. Solving for x:
x = 20 / 1.25 = 20 * (4/5) = 16.
Conclusion
Thus, the value of x is 16. Therefore, the correct answer is option D: 16.
This means that the selling price of 16 articles is equal to the cost price of 20 articles when a profit of 25% is made.
The problem states that the cost price of 20 articles equals the selling price of x articles, and there is a profit of 25%. Let's break this down step by step.
Definitions and Formulas
- Cost Price (CP): The price at which an article is purchased.
- Selling Price (SP): The price at which an article is sold.
- Profit Percentage: Profit is calculated as (SP - CP) / CP * 100.
Given that the profit is 25%, we can express this as:
- SP = CP + (25% of CP) = CP * (1 + 0.25) = 1.25 * CP.
Calculating Cost Price and Selling Price
1. Let CP of one article be 'C'.
2. Total CP of 20 articles = 20 * C = 20C.
3. SP of x articles = x * SP of one article = x * (1.25 * C).
According to the problem, we have:
- 20C = x * (1.25 * C).
Simplifying the Equation
1. Divide both sides by C (assuming C is not zero):
20 = 1.25x.
2. Solving for x:
x = 20 / 1.25 = 20 * (4/5) = 16.
Conclusion
Thus, the value of x is 16. Therefore, the correct answer is option D: 16.
This means that the selling price of 16 articles is equal to the cost price of 20 articles when a profit of 25% is made.
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The cost price of 20 articles is the same as the selling price of x articles. If the profit is 25%, then the value of x isa)25b)18c)15d)16Correct answer is option 'D'. Can you explain this answer?
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