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Question
After allowing a discount of \[7\frac{1}{2}\]% on the marked price, an article is sold for Rs 555. Find its markd price.
Solution
\[\text { Given }, \]
\[\text { SP of the article = Rs } . 555\]
\[\text { Discount = 7 . 5 % } \]
\[\text { Let the MP of the article be Rs } . x . \]
\[\text { Therefore, Discount } = \frac{\text { Discount } \times MP}{100} = Rs . \frac{7 . 5x}{100} = Rs . 0 . 075x\]
\[\text { Since SP = MP - Discount, }\]
\[555 = x - 0 . 075x\]
\[555 = 0 . 925x\]
\[x = \frac{555}{0 . 925}\]
\[ = Rs . 600\]
\[\text { Thus, the MP of the article is Rs } . 600 .\]
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