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
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An article was sold at a loss of 24%. If it were sold for Rs. 1,596 more, then there would have been a gain of 18%, The cost price of the article is:
The cost price of an article is Rs.6,450. If it sold at a profit 16%, how much would be its selling price?
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