Question

Seema sold an article at a gain of 10% if he had bought at 10% less and sold it for 220 less she would have gained 10%. find the cost price of the article?

Answer 1

To find the cost price of the article, we can set up an equation based on the given information. By solving the equation, we find that the cost price of the article is $1100.

Step-by-step explanation:

To solve this problem, let's first assume the cost price of the article is $x.

Seema sold the article at a gain of 10%, which means she sold it for 110% of the cost price.

If Seema had bought the article at 10% less, she would have bought it for 90% of the cost price, which is (90/100)*x = 0.9x.

If she had sold it for $220 less, she would have sold it for (0.9x + 220).

According to the problem, this new selling price should lead to a gain of 10%.

So, we can write the equation:

(0.9x + 220) = 1.1(0.9x)

Now, we can solve this equation to find the value of x, which represents the cost price of the article.

Multiplying both sides of the equation by 10 to eliminate the decimal:

9x + 2200 = 11x

Subtracting 9x from both sides of the equation:

2200 = 2x

Dividing both sides of the equation by 2:

x = 1100

Therefore, the cost price of the article is $1100.