Gaurav marks his goods 50% above the cost price and offers a discount of 30% on the marked price to his customers. What is his percentage gain?

The correct answer is 5%.

Step-by-Step Explanation:

Step 1: Assume a base Cost Price (CP)
Let the Cost Price (CP) of the goods be $\mathrm{CP}=100$.

Step 2: Calculate the Marked Price (MP)
Gaurav marks his goods 50% above the cost price.
Markup amount = 50% of 100 = 50.
Therefore, the Marked Price (MP) is:
$\mathrm{MP}=100+50=150$

Step 3: Calculate the Selling Price (SP) after discount
He offers a discount of 30% on the marked price.
Discount amount = 30% of 150 = $\frac{30}{100}\times 150=45$.
Therefore, the Selling Price (SP) is:
$\mathrm{SP}=\mathrm{MP}-\text{Discount}=150-45=105$

Step 4: Calculate the Profit and Percentage Gain
Gain (Profit) = $\mathrm{SP}-\mathrm{CP}=105-100=5$.
Percentage Gain = $\left(\frac{\text{Gain}}{\mathrm{CP}}\right)\times 100=\left(\frac{5}{100}\right)\times 100=5\%$.

Thus, his percentage gain is 5%.