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A man makes a profit of 20% on the sale by selling 20 articles for Rs. 1. The number of articles he bought by Rs. 1 is
- a)20
- b)24
- c)25
- d)30
Correct answer is option 'B'. Can you explain this answer?
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A man makes a profit of 20% on the sale by selling 20 articles for Rs....
Understanding the Problem
To determine how many articles the man bought for Rs. 1, we need to analyze the profit he made from selling his articles.
Profit Calculation
- The man sells 20 articles for Rs. 1.
- He makes a profit of 20% on this sale.
Cost Price (CP) and Selling Price (SP)
- Let's denote the Cost Price (CP) of *one article* as x.
- Therefore, the Selling Price (SP) of one article can be calculated as follows:
SP = CP + Profit
Since he makes a profit of 20%, we can express this as:
SP = CP + 0.2 * CP = 1.2 * CP
Calculating Total Selling Price
- Since he sells 20 articles for Rs. 1, the Selling Price (SP) of these 20 articles is Rs. 1.
Thus, the Selling Price per article is:
SP (per article) = 1 / 20 = Rs. 0.05
Setting Up the Equation
- Now we have the SP as Rs. 0.05:
1.2 * CP = 0.05
From this we can find the Cost Price (CP):
CP = 0.05 / 1.2 = Rs. 0.04167 (approximately)
Calculating the Number of Articles Bought
- If the man bought *a* articles for Rs. 1, then:
a * CP = 1
Substituting CP:
a * 0.04167 = 1
a = 1 / 0.04167 ≈ 24
Conclusion
The man bought approximately 24 articles for Rs. 1, making option 'B' the correct answer.
To determine how many articles the man bought for Rs. 1, we need to analyze the profit he made from selling his articles.
Profit Calculation
- The man sells 20 articles for Rs. 1.
- He makes a profit of 20% on this sale.
Cost Price (CP) and Selling Price (SP)
- Let's denote the Cost Price (CP) of *one article* as x.
- Therefore, the Selling Price (SP) of one article can be calculated as follows:
SP = CP + Profit
Since he makes a profit of 20%, we can express this as:
SP = CP + 0.2 * CP = 1.2 * CP
Calculating Total Selling Price
- Since he sells 20 articles for Rs. 1, the Selling Price (SP) of these 20 articles is Rs. 1.
Thus, the Selling Price per article is:
SP (per article) = 1 / 20 = Rs. 0.05
Setting Up the Equation
- Now we have the SP as Rs. 0.05:
1.2 * CP = 0.05
From this we can find the Cost Price (CP):
CP = 0.05 / 1.2 = Rs. 0.04167 (approximately)
Calculating the Number of Articles Bought
- If the man bought *a* articles for Rs. 1, then:
a * CP = 1
Substituting CP:
a * 0.04167 = 1
a = 1 / 0.04167 ≈ 24
Conclusion
The man bought approximately 24 articles for Rs. 1, making option 'B' the correct answer.
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A man makes a profit of 20% on the sale by selling 20 articles for Rs. 1. The number of articles he bought by Rs. 1 isa)20b)24c)25d)30Correct answer is option 'B'. Can you explain this answer?
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