To find the cost price of the chair, we need to understand the concept of gain percentage and the formula to calculate it.



The gain percentage is a measure of how much profit is made on an item compared to its cost price. It is represented as a percentage of the cost price. The formula to calculate the gain percentage is:

Gain Percentage = (Profit / Cost Price) * 100

In this case, the gain percentage is given as 10%, which means the profit made on selling the chair is 10% of its cost price.



Let's assume the cost price of the chair is 'x' dollars.

According to the given information, the selling price of the chair is $1375 and the gain percentage is 10%.

Using the formula for gain percentage, we can write the equation as:

(Profit / Cost Price) * 100 = Gain Percentage

(Profit / x) * 100 = 10

Profit = (10/100) * x

Profit = 0.1x

We know that profit is calculated as the difference between the selling price and the cost price:

Profit = Selling Price - Cost Price

0.1x = 1375 - x

0.1x + x = 1375

1.1x = 1375

x = 1375 / 1.1

x ≈ 1250

Therefore, the cost price of the chair is approximately $1250.



The cost price of the chair is $1250. By selling it for $1375, the man gains 10% from the cost price.

1375*110/100 = 1375*1.1 = 1512.5 is the correct answer