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प्रश्न
Ramesh bought two boxes for Rs 1300. He sold one box at a profit of 20% and the other box at a loss of 12%. If the selling price of both boxes is the same, find the cost price of each box.
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उत्तर
\[\text { Let the cost price of the first box be Rs . x } . \]
\[\text { Therefore, the cost of the second box will be Rs } . (1300 - x)\]
\[\text { Profit on the first box = 20 %} \]
\[\text { Loss on the second box = 12 % } \]
\[\text { SP of the first box = C }P\left( \frac{\text { gain %} + 100}{100} \right)\]
\[SP = x\left( \frac{120}{100} \right)\]
\[\text { SP of the first box = Rs } . \frac{120x}{100} = Rs . \frac{6x}{5}\]
\[\text { SP of the second box = CP }\left( \frac{100 -\text { loss %}}{100} \right)\]
\[\text { S . P of the second box }= \frac{88\left( 1300 - x \right)}{100} = Rs . \left( \frac{28600 - 22x}{25} \right)\]
\[\text { Since S . P of both the box are equal }, \]
\[\frac{6x}{5} = \left( \frac{28600 - 22x}{25} \right)\]
\[150x = 143000 - 110x\]
\[260x = 143000\]
\[x = \frac{143000}{260}\]
\[x = 550\]
\[\text { Therefore, the cost price of the first box is Rs . 550 }. \]
\[\text { The cost price of the second box will be Rs } . (1300 - 550) = Rs . 750\]
संबंधित प्रश्न
A milkman sold two of his buffaloes for Rs 20,000 each. On one he made a gain of 5% and on the other a loss of 10%. Find his overall gain or loss.
(Hint: Find CP of each)
Toshiba bought 100 hens for Rs 8000 and sold 20 of these at a gain of 5%. At what gain percent she must sell the remaining hens so as to gain 20% on the whole?
The list price of a table fan is Rs 480 and it is available to a retailer at 25% discount. For how much should a retailer sell it to gain 15%?
Rohit buys an item at 25% discount on the marked price. He sells it for Rs 660, making a profit of 10%. What is the marked price of the item?
Kantabai bought 25 saris from a wholesale merchant for Rs 10000 and sold them all at Rs 460 each. How much profit did Kantabai get in this 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 |
Valavan bought 24 eggs for ₹ 96. Four of them were broken and also he had a loss of ₹ 36 on selling them. What is the selling price of one egg?
______ expenses are the additional expenses incurred by a buyer for an item over and above its cost of purchase.
A bicycle is purchased for ₹ 1800 and is sold at a profit of 12%. Its selling price is ______.
