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प्रश्न
A shopkeeper allows 23% commision on his advertised price and still makes a profit of 10%. If he gains Rs 56 on one item, find his advertised price.
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उत्तर
\[\text { Let the CP of the item be Rs . x } . \]
\[\text { Profit = 10 % }\]
\[\text { SP = CP }\left( \frac{100 + \text { Profit % }}{100} \right)\]
\[SP = x\left( \frac{110}{100} \right)\]
\[\text { SP = Rs . 1 . 1x }\]
\[\text { Again, Profit = SP - CP }\]
\[\text { Therefore, Profit = Rs } . (1 . 1x - x)\]
\[ = Rs . 0 . 1x\]
We get,
0 . 1x = 56
x = Rs . 560
\[\text { Now, the advertised price }= \frac{1 . 1x}{1 - 0 . 23}\]
\[ = Rs . \frac{560 \times 1 . 1}{0 . 77}\]
\[ = Rs . 800\]
Therefore, the advertised price of the item is Rs . 800 .
संबंधित प्रश्न
A shopkeeper buys 80 articles for Rs 2,400 and sells them for a profit of 16%. Find the selling price of one article.
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Some toffees are bought at the rate of 11 for Rs 10 and the same number at the rate of 9 for Rs 10. If the whole lot is sold at one rupee per toffee, find the gain or loss percent on the whole transaction.
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A mixer grinder marked at ₹ 4500 is sold for ₹ 4140 after discount. The rate of discount is __________
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Fill up the appropriate boxes in the following table
| SI. No | C.P. in ₹ |
S.P. in ₹ |
Profit in ₹ |
Loss in ₹ |
| (i) | 100 | 120 | ||
| (ii) | 110 | 120 | ||
| (iii) | 120 | 20 | ||
| (iv) | 100 | 90 | ||
| (v) | 120 | 25 |
If Guna marks his product to be sold for ₹ 325 and gives a discount of ₹ 30, then find the S.P.
The marked price of an article is ₹ 2,000. The GST on the article is 12% and discount is ₹ 500, the total amount to be paid is ______.
