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An article is sold for Rs. 5000 at a loss of 25 percent. What is the cost price of the article?
Question

An article is sold for Rs. 5000 at a loss of 25 percent. What is the cost price of the article?

A.

Rs. 6666.66

B.

Rs. 6000

C.

Rs. 6500

D.

Rs. 7500

Correct option is A

Given:
Selling Price (SP) = Rs. 5000
Loss Percentage = 25%
Cost Price (CP) = ?
Formula Used:
Selling Price=Cost Price (CP)(1Loss Percentage100)\text{Selling Price} = \text{Cost Price (CP)} \left(1 - \frac{\text{Loss Percentage}}{100}\right)​​
Solution:
CP = 5000125100\frac{5000}{1 - \frac{25}{100}}​​
CP=500010.25CP=50000.75CP = \frac{5000}{1 - 0.25}\\CP = \frac{5000}{0.75}​​
CP = Rs. 6666.67
Thus, the cost price of the article is Rs. 6666.67.

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