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प्रश्न
A shopkeeper marks his goods at 40% above the cost price but allows a discount of 5% for cash payment to his customers. What actual profit does he make, if he receives Rs 1064 after paying the discount?
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उत्तर
\[\text { Let the original cost price of the item be Rs . x } . \]
\[\text { MP = x } + \frac{40x}{100} = 1 . 4x\]
\[\text { Discount = MP - SP }\]
\[MP - \frac{\text { Discount % } \times MP}{100} = SP\]
\[1 . 4x - \frac{5 \times 1 . 4x}{100} = 1064\]
\[\frac{1 . 4x \times 100 - 5 \times 1 . 4x}{100} = 1064\]
\[\text { So, x }\left( 1 . 4 \right)\left( 0 . 95 \right) = 1064\]
\[x = \frac{1064}{\left( 1 . 4 \times 0 . 95 \right)}\]
\[ = \frac{1064}{1 . 33}\]
\[ = Rs . 800\]
\[\text { Profit = Rs } . (1064 - 800)\]
\[ = \text { Rs }. 264\]
\[\text { Thus, the actual profit by the shopkeeper is Rs } . 264 . \]
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.
By selling a pair of earings at a discount of 25% on the marked price, a jeweller makes a profit of 16%. If the profit is Rs 48, what is the cost price? What is the marked price and the price at which the pair was eventually bought?
Gopi sold a laptop at 12% gain. If it had been sold for ₹ 1200 more, the gain would have been 20%. Find the cost price of the laptop
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 |
A store purchased pens at ₹ 216 per dozen. He paid ₹ 58 for conveyance and sold the pens at the discount of ₹ 2 per pen and made a overall profit of ₹ 50. Find the M.P. of each pen.
Latika bought a teapot for Rs 120 and a set of cups for Rs 400. She sold teapot at a profit of 5% and cups at a loss of 5%. The amount received by her is ______.
The original price of a washing machine which was bought for Rs 13,500 inclusive of 8% VAT is ______.
Sanjay is looking for one-bedroom apartment on rent. At Neelgiri apartments, rent for the first two months is 20% off. The one-bedroom rate at Neelgiri is Rs 6,000 per month. At Savana apartments, the first month is 50% off. The one-bedroom rate at Savana apartments is Rs 7000 per month. Which apartment will be cheaper for the first two months? By how much?
On selling an article for ₹ 329, a dealer lost 6%. The cost price of the article is ______.
Devangi buys a chair for ₹ 700 and sells it for ₹ 750. She earns a profit of ______ % in the transaction.
