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After a discount of 33 percent an article is sold for Rs. 2546. What is the marked price of the article?
Question

After a discount of 33 percent an article is sold for Rs. 2546. What is the marked price of the article?

A.

Rs. 3800

B.

Rs. 3500

C.

Rs. 4000

D.

Rs. 3600

Correct option is A

Given:
Selling Price (SP) = Rs. 2546
Discount = 33%
Formula Used:
SP=MP(1Discount100)MP=SP1Discount100SP = MP \cdot \left(1 - \frac{\text{Discount}}{100}\right)\\MP = \frac{SP}{1 - \frac{\text{Discount}}{100}}​​
Solution:
Marked Price (MP)=SP1Discount100MP=2546133100MP=25460.67MP=3800\text{Marked Price (MP)} = \frac{\text{SP}}{1 - \frac{\text{Discount}}{100}} \\\text{MP} = \frac{2546}{1 - \frac{33}{100}} \\\text{MP} = \frac{2546}{0.67} \\\text{MP} = 3800​​
Thus, the marked price of the article is Rs. 3800.

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