Question : A laptop is marked at a price 20% above its cost price. At what discount percentage should it be sold to make a 5% profit?
Option 1: 11.5%
Option 2: 12.5%
Option 3: 13.5%
Option 4: 10.5%
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Correct Answer: 12.5%
Solution :
Let the cost price of the product be Rs. 100
So, marked price = (100 + 20)% of 100
= Rs. 120
Now, profit = 5%
So, the selling price = (100 + 5)% of 100
= Rs. 105
Also, discount $=$ Marked price – Selling price = Rs. 120 - Rs. 105 = Rs. 15
⇒ Discount % $= \frac{15}{120} × 100 = 12.5\%$
Hence, the correct answer is 12.5%.
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