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प्रश्न
A shopkeeper offers 10% off-season discount to the customers and still makes a profit of 26%. What is the cost price for the shopkeeper on a pair of shoes marked at Rs 1120?
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उत्तर
\[\text { Given }, \]
\[\text { MP of the pair of shoes = Rs } . 1120\]
\[\text { Discount = 10 % } \]
\[\text { So, SP = MP }\left( \frac{100 - \text { Discount % }}{100} \right)\]
\[ = 1120 \times \frac{90}{100}\]
\[ = Rs . 1008\]
\[\text { Now, }\]
\[\text { Profit = 26 % } \]
\[\text { SP = Rs } . 1008\]
\[\text { Therefore, CP } = \left( \frac{100 \times SP}{100 +\text { Profit % }} \right)\]
\[\text { Cost price } = \left( \frac{100 \times 1008}{100 + 26} \right)\]
\[ = Rs . 800\]
\[\text { The cost price of the pair of shoes will be Rs . 800 } . \]
संबंधित प्रश्न
A VCR and TV were bought for Rs 8,000 each. The shopkeeper made a loss of 4% on the VCR and a profit of 8% on the TV. Find the gain or loss percent on the whole transaction.
The cost price of 10 articles is equal to the selling price of 9 articles. Find the profit percent.
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.
Fill up the appropriate boxes in the following table.
| SI. No | C.P. in ₹ |
M.P. in ₹ |
S.P. in ₹ |
Discount in ₹ |
Profit in ₹ |
Loss in ₹ |
| (i) | 110 | 130 | Nil | |||
| (ii) | 110 | 130 | 10 | |||
| (iii) | 110 | 130 | 30 | |||
| (iv) | 110 | 120 | Nil | 10 | ||
| (v) | 120 | 10 | 20 | Nil |
Rani bought a set of bangles for ₹ 310. Her neighbour liked it the most. So, Rani sold it to her for ₹ 325. Find the profit or loss to Rani.
Discount = M.P. − __________
Avinash bought an electric iron for Rs 900 and sold it at a gain of 10%. He sold another electric iron at 5% loss which was bought Rs 1200. On the transaction he has a ______.
C.P. = M.P. – Discount.
Aahuti purchased a house for ₹ 50,59,700 and spent ₹ 40300 on its repairs. To make a profit of 5%, she should sell the house for ₹ ______.
Narain bought 120 oranges at ₹ 4 each. He sold 60 % of the oranges at ₹ 5 each and the remaining at ₹ 3.50 each. His ______ is ______ %.
