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प्रश्न
A shopkeeper allows his customers 10% 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 250?
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उत्तर
\[\text { Let the CP of the article be Rs . x } . \]
\[\text { MP of the article = Rs } . 250\]
\[\text { Discount = 10 % } \]
\[\text { Discount = 10 % of } 250\]
\[ = 0 . 10 \times 250\]
\[ = \text {Rs . 25 }\]
\[\text { SP = MP - Discount }\]
\[ = 250 - 25\]
\[ = Rs . 225\]
\[\text { Given, } \]
\[\text { Profit = 25 % } \]
\[CP = \left[ \frac{100}{\left( 100 +\text { Gain % }\right)} \times SP \right]\]
\[x = \left[ \frac{100}{\left( 100 + 25 \right)} \times 225 \right]\]
\[ = \left[ \frac{100}{125} \times 225 \right]\]
\[ =\text { Rs }. 180\]
\[\text { Thus, the CP of the article is Rs } . 180 .\]
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Find the M.P. in the following:
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A shopkeeper allows 20% discount on his article. What price must be mark on an article, which costs him Rs.1750, to make a profit 20%?
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The difference between a discount of 30% and two successive discounts of 20% and 10% is Rs.144. Find the list price of the article.
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Two dealers A and B selling the same model of refrigerator mark them under the same selling price. A gives successive discount of 25% and 5% and B gives successive discounts of 10% and 20%. From whom is it more advantageous to purchase the refrigerator?
