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An article was sold for₹250with a profit of 5% .what it is C.P?
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An article was sold for₹250with a profit of 5% .what it is C.P?
Calculation of Cost Price (C.P.)
To find the cost price (C.P.) of the article, we need to consider the selling price (S.P.) and the profit percentage.
Given:
Selling Price (S.P.) = ₹250
Profit Percentage = 5%
Now, let's calculate the cost price (C.P.) using the formula:
C.P. = S.P. / (1 + (Profit Percentage / 100))
Substituting the given values:
C.P. = ₹250 / (1 + (5 / 100))
C.P. = ₹250 / (1 + 0.05)
C.P. = ₹250 / 1.05
Therefore, the cost price (C.P.) of the article is ₹238.10.
Explanation:
To calculate the cost price (C.P.), we use the formula C.P. = S.P. / (1 + (Profit Percentage / 100)). Here, the selling price (S.P.) is ₹250, and the profit percentage is 5%.
The formula is derived from the fact that the selling price (S.P.) is equal to the cost price (C.P.) plus the profit amount. Mathematically, it can be represented as S.P. = C.P. + Profit.
To find the cost price (C.P.), we rearrange the formula as C.P. = S.P. - Profit. However, since the profit is given as a percentage, we need to convert it into a decimal by dividing it by 100. This is why we divide the profit percentage by 100 in the formula.
By substituting the given values into the formula, we get C.P. = ₹250 / (1 + (5 / 100)). Simplifying further, C.P. = ₹250 / (1 + 0.05) = ₹250 / 1.05 = ₹238.10.
Therefore, the cost price (C.P.) of the article is ₹238.10.
To find the cost price (C.P.) of the article, we need to consider the selling price (S.P.) and the profit percentage.
Given:
Selling Price (S.P.) = ₹250
Profit Percentage = 5%
Now, let's calculate the cost price (C.P.) using the formula:
C.P. = S.P. / (1 + (Profit Percentage / 100))
Substituting the given values:
C.P. = ₹250 / (1 + (5 / 100))
C.P. = ₹250 / (1 + 0.05)
C.P. = ₹250 / 1.05
Therefore, the cost price (C.P.) of the article is ₹238.10.
Explanation:
To calculate the cost price (C.P.), we use the formula C.P. = S.P. / (1 + (Profit Percentage / 100)). Here, the selling price (S.P.) is ₹250, and the profit percentage is 5%.
The formula is derived from the fact that the selling price (S.P.) is equal to the cost price (C.P.) plus the profit amount. Mathematically, it can be represented as S.P. = C.P. + Profit.
To find the cost price (C.P.), we rearrange the formula as C.P. = S.P. - Profit. However, since the profit is given as a percentage, we need to convert it into a decimal by dividing it by 100. This is why we divide the profit percentage by 100 in the formula.
By substituting the given values into the formula, we get C.P. = ₹250 / (1 + (5 / 100)). Simplifying further, C.P. = ₹250 / (1 + 0.05) = ₹250 / 1.05 = ₹238.10.
Therefore, the cost price (C.P.) of the article is ₹238.10.
Community Answer
An article was sold for₹250with a profit of 5% .what it is C.P?
S.P of an article = ₹ 250
Profit % = 5%
C.P = ?
Let the C.P of an article = 100x
Profit of an article = 5% = 5x ( out of 100)
So S.P of an article = 100x+5x = 105x
S.P of an article = ₹ 250
105x = ₹ 250
x = 250/105 = 50/21
So C.P of an article = (100 * 50)/21
= 5000/21 = ₹ 238.09
Profit % = 5%
C.P = ?
Let the C.P of an article = 100x
Profit of an article = 5% = 5x ( out of 100)
So S.P of an article = 100x+5x = 105x
S.P of an article = ₹ 250
105x = ₹ 250
x = 250/105 = 50/21
So C.P of an article = (100 * 50)/21
= 5000/21 = ₹ 238.09
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An article was sold for₹250with a profit of 5% .what it is C.P? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about An article was sold for₹250with a profit of 5% .what it is C.P? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An article was sold for₹250with a profit of 5% .what it is C.P?.
An article was sold for₹250with a profit of 5% .what it is C.P? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about An article was sold for₹250with a profit of 5% .what it is C.P? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An article was sold for₹250with a profit of 5% .what it is C.P?.
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