By selling lemons at 5 for a rupee, a man loses 34%. To gain 10% how many must he sell for a rupee?
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Selling price for 5 lemons is \(₹1\), which gives a loss of 34%, so cost price of 5 lemons is \(\frac{1}{0.66} = \frac{100}{66}\) rupees.
Cost price of 1 lemon \(= \frac{100}{66 \times 5} = \frac{20}{66} = \frac{10}{33}\) rupees.
To gain 10%, selling price of 1 lemon should be \(\frac{10}{33} \times 1.10 = \frac{11}{33} = \frac{1}{3}\) rupee.
So for ₹1, number of lemons sold \(= 1 \div \frac{1}{3} = 3\).
Hence, he must sell 3 lemons for a rupee to gain 10%.
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Important Questions from Profit and Loss
By selling an article for Rs. 2,200, a profit of 10% is earned. If the same article is sold for Rs. 2,600, then what will be the gain percentage?
By selling an article for Rs. 640, a person loses 15% of its selling price. At what price (in Rs.) should he sell it to gain 15% on its cost price?
The selling prices of articles A and B are the same. A is sold at a profit of 28 percent and B is sold at a loss of 24 percent. If the total selling price of the both articles is Rs. 48640, then what is the cost price of A and B, respectively ?
The cost price of an article is Rs. 2800. Profit as a percentage of selling price is 20 percent. What is the actual profit (in Rs.) ?
A trader bought 640 kg of rice. He sold a part of rice at 20% profit and the rest at 5% loss. He earned a profit of 15% in the entire transaction. What is the quantity (in kg) of rice that he sold at 5% loss?
