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A Shopkeeper Allows 20% off on the Marked Price of Goods and Still Gets a Profit of 25%. What is the Actual Cost to Him of an Article Marked Rs 500? - Mathematics

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प्रश्न

A shopkeeper allows 20% off on the marked price of goods and still gets a profit of 25%. What is the actual cost to him of an article marked Rs 500?

संक्षेप में उत्तर

उत्तर

\[\text { Given }, \]

\[\text { MP of an article = Rs } . 500\]

\[\text { Discount = 20 % } \]

\[\text { Therefore, Discount = 20 % of } 500\]

\[ = 0 . 20 \times 500\]

\[ = 100\]

\[\text { So, SP = MP - Discount }\]

\[ =\text {  Rs } . (500 - 100)\]

\[ = \text { Rs } . 400\]

\[\text { CP } = \left[ \frac{100}{\left( 100 +\text {  Gain % } \right)} \times\text {  SP } \right]\]

\[ = \left[ \frac{100}{\left( 100 + 25 \right)} \times 400 \right]\]

\[ = \frac{40000}{125}\]

\[ = Rs . 320\]

\[\text { Thus, the actual cost of the article is Rs } . 320 .\]

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  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 13: Proft, Loss, Discount and Value Added Tax (VAT) - Exercise 13.2 [पृष्ठ २६]

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आरडी शर्मा Mathematics [English] Class 8
अध्याय 13 Proft, Loss, Discount and Value Added Tax (VAT)
Exercise 13.2 | Q 9 | पृष्ठ २६

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