Question : A person marks an article 36% above the cost price and offers a 30% discount on the marked price. What is the loss or gain percentage?
Option 1: Loss 6.5%
Option 2: Loss 4.8%
Option 3: Gain 8.5%
Option 4: Gain 7.2%
Correct Answer: Loss 4.8%
Solution :
Let the cost price be 100.
Marked price above 36% = 100 + 36 = 136
Discount = 30%
Selling price = $\frac{100-\text{discount %}}{100}\times$ marked price
= $\frac{100-30}{100}\times136$
= $\frac{70}{100}\times136$
= $95.2$
Loss = Cost price – selling price = 100 – 95.2 = 4.8
Loss percentage $=\frac{\text{Loss}}{\text{Cost price}}\times100=\frac{4.8}{100}\times100= 4.8\%$
Hence, the correct answer is a loss of 4.8%.
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