A man sells his goods at a certain price, 20% of which is his profit. If the price at which he buys the goods increases by 10% and he sells them at an 8% higher price, then what will be his profit percent (correct to one decimal place)?

Answer: Option D

Let's assume that the cost price of the goods for the man is Rs. 100.
Given:
Profit = 20% of the selling price
Cost Price = Rs. 100
Profit = 20% of Selling Price
Profit = 0.2 × Selling Price
Selling Price = Cost Price + Profit
Selling Price = Rs. 100 + 0.2 × Selling Price
0.8 × Selling Price = Rs. 100
Selling Price = $$\frac{\text{Rs}\text{. }100}{0.8}$$
Selling Price = Rs. 125
So, the man sells the goods at Rs. 125.
Now, after the price at which he buys the goods increases by 10%, the new cost price will be:
New Cost Price = Rs. 100 + 10% of Rs. 100
New Cost Price = Rs. 100 + Rs. 10
New Cost Price = Rs. 110
He sells the goods at an 8% higher price, so the new selling price will be:
New Selling Price = Rs. 125 + 8% of Rs. 125
New Selling Price = Rs. 125 + Rs. 10
New Selling Price = Rs. 135
New Profit = New Selling Price - New Cost Price
New Profit = Rs. 135 - Rs. 110
New Profit = Rs. 25
Now, let's calculate the profit percentage based on the new selling price and the new cost price:
Profit Percentage = $$\frac{\text{Profit}}{\text{Cost Price}}\times 100$$
Profit Percentage = $$\frac{25}{100}\times 100$$
Profit Percentage ≈ 22.7%
Therefore, the man's profit percentage, correct to one decimal place, is approximately 22.7%.