Question : After giving a 10 percent discount on an article there is still a profit of 10 percent. What will be the profit percentage when no discount is given?
Option 1: 22.22 percent
Option 2: 25 percent
Option 3: 16.66 percent
Option 4: 26.88 percent
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Correct Answer: 22.22 percent
Solution :
Let the marked price (MP) be Rs. 100.
Selling price after 10% discount (SP) = 100 – 10 = Rs. 90
Cost price = Selling price $×\frac{100}{(100+ \text{Profit})\%}$
= $\frac{90×100}{100+ 10}$
= $\frac{900}{11}$
Required profit percent without discount
= $\frac{100-\frac{900}{11}}{\frac{900}{11}}\times 100$
= $\frac{2}{9}\times 100$
= 22.22%
Hence, the correct answer is 22.22 percent.
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