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A merchant marks his goods at Rs. 900 and allows a discount of 25%. If he still gain 12.5%, then the cost price of the article is :
- a)Rs. 500
- b)Rs. 600
- c)Rs. 720
- d)can't be determined
Correct answer is option 'B'. Can you explain this answer?
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A merchant marks his goods at Rs. 900 and allows a discount of 25%. If...
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A merchant marks his goods at Rs. 900 and allows a discount of 25%. If...
Given:
Marked price (MP) = Rs. 900
Discount = 25%
Profit = 12.5%
To find:
Cost price (CP) of the article
Solution:
1. Calculate the Selling Price (SP) after discount
Discount = 25%
Therefore, Selling Price = MP - Discount
= 900 - (25/100)*900
= 900 - 225
= Rs. 675
2. Calculate the CP from the given profit percentage
Profit = 12.5%
Let the CP be x
Profit = SP - CP
12.5% of CP = SP - CP
12.5/100 * x = 675 - x
0.125x = 675 - x
1.125x = 675
x = 600
Therefore, the cost price of the article is Rs. 600.
Hence, option (b) is the correct answer.
Marked price (MP) = Rs. 900
Discount = 25%
Profit = 12.5%
To find:
Cost price (CP) of the article
Solution:
1. Calculate the Selling Price (SP) after discount
Discount = 25%
Therefore, Selling Price = MP - Discount
= 900 - (25/100)*900
= 900 - 225
= Rs. 675
2. Calculate the CP from the given profit percentage
Profit = 12.5%
Let the CP be x
Profit = SP - CP
12.5% of CP = SP - CP
12.5/100 * x = 675 - x
0.125x = 675 - x
1.125x = 675
x = 600
Therefore, the cost price of the article is Rs. 600.
Hence, option (b) is the correct answer.
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A merchant marks his goods at Rs. 900 and allows a discount of 25%. If he still gain 12.5%, then the cost price of the article is :a)Rs. 500b)Rs. 600c)Rs. 720d)cant be determinedCorrect answer is option 'B'. Can you explain this answer?
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