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After the price of an article is reduced by 15%, it costs Rs.1020. Find the actual cost of the article.
Question

After the price of an article is reduced by 15%, it costs Rs.1020. Find the actual cost of the article.

A.

Rs.1150

B.

Rs.1300

C.

Rs.1850

D.

Rs.1200

E.

Rs.1400

Correct option is D

Given:

The reduced price of the article = Rs. 1020

Percentage reduction = 15%

Formula Used:

The formula to calculate the original price after a percentage reduction is:

Original Price=Reduced Price1Percentage Reduction100\text{Original Price} = \frac{\text{Reduced Price}}{1 - \frac{\text{Percentage Reduction}}{100}}​​

Solution:

Reduced Price = Rs. 1020

Percentage Reduction = 15%

Original Price =  1020(115100)\frac{1020 }{ (1 - \frac{15}{100})}​​

Original Price =  10200.85\frac{1020 }{0.85}​​

Original Price = Rs. 1200

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