A merchant fixes the sale price of his goods at 42\% above the cost price. He sells his goods at a 15\% discount on the marked price. What is his percentage of profit (rounded off to the nearest integer)?

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**Solution:**

1. Let the cost price (CP) be $100$.

2. The merchant fixes the marked price (MP) at 42\% above CP:
   $$
   MP = CP + 42\% \times CP = 100 + 42 = 142
   $$

3. The selling price (SP) is after a 15\% discount on MP:
   $$
   SP = MP - 15\% \times MP = 142 \times \left(1 - \frac{15}{100}\right) = 142 \times 0.85 = 120.7
   $$

4. Calculate profit percentage:
   $$
   \text{Profit \%} = \frac{SP - CP}{CP} \times 100 = \frac{120.7 - 100}{100} \times 100 = 20.7\% \approx 21\%
   $$

**Answer:** 21\%

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