Question : A dealer marks his goods at 44% above the cost price. Then he allows 50% discount on it. What would be his loss percentage?
Option 1: 25%
Option 2: 28%
Option 3: 26%
Option 4: 32%
Correct Answer: 28%
Solution :
Let the cost price be 100.
Marked price above 44% = 144
Discount = 50%
Selling price = $\frac{\text{Discount}}{100}\times$ Marked price
= $\frac{50}{100}\times144$
= 72
Loss = cost price – selling price
= 100 – 72
= 28
Loss percent = $\frac{\text{Loss}}{\text{Cost price}}\times100$%
= $\frac{28}{100}\times100$%
= 28%
Hence, the correct answer is 28%.
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