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Sunday, August 28, 2022

A discount of 15% is given on the marked price of an article. The shopkeeper charges sales tax of 6% on the discounted price. If the selling price be Rs.1081.20, what is the marked price of the article?

A discount of 15% is given on the marked price of an article. The shopkeeper charges sales tax of 6% on the discounted price. If the selling price be Rs.1081.20, what is the marked price of the article?
ARs.1185.20
BRs.1250.20
CRs.302
DRs.1200

Correct answer is: Rs.1200

Explanation:

If the marked price of the article be x, then
Price after discount of 15%

\(= \text{Rs. } \frac{85x}{100}\)

\(= \text{Rs. }\frac{17x}{20}\)

Actual S.P.

\(= \text{Rs. } \frac{17x}{20} \times \frac{106}{100}\)

\(\implies \frac{17x}{20} \times \frac{106}{100}\)

\(\implies x= \frac{1081.20 \times 20 \times 100}{17 \times 106}\)

x = Rs.1200

Nithin
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