Question : On selling 14 notebooks a seller makes a profit equal to the selling price of 9 notebooks. Find his percentage of profit. (The selling price of all notebooks is the same. The cost price of all notebooks is the same.)
Option 1: 210%
Option 2: 180%
Option 3: 140%
Option 4: 130%
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Correct Answer: 180%
Solution : Given, Notebooks sold = 14 Profit = Selling price of 9 notebooks Selling price = Cost price + Profit and Profit% = $\frac{\text{Profit}}{\text{Cost price}}\times 100$ Let's assume that the selling price of 1 notebook is 'SP' and the cost price of 1 notebook is 'CP'. ⇒ The selling price of 14 notebooks = 14SP ⇒ The cost price of 14 notebooks = 14CP According to the question: Profit = Selling Price – Cost Price ⇒ 9SP = 14SP – 14CP ⇒ 14CP = (14 – 9)SP ⇒ 14CP = 5SP ⇒ $\frac{\text{CP}}{\text{SP}} = \frac{5}{14}$ ⇒ CP = 5 units ⇒ SP = 14 units ⇒ Profit = 9 unit Now, Profit % = $\frac{9}{5} ×$100 = 180% Hence, the correct answer is 180%.
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