Profit after selling article for ₹ 700 is 717717% more than the loss incurred when it is sold for ₹ 410. What will be the selling price of that article, if a profit of 10% is desired?₹ 490₹ 605₹ 560₹ 450

To solve this problem, we first need to establish the relationship between the profit and loss.

According to the problem, the profit after selling the article for ₹700 is 717717% more than the loss incurred when it is sold for ₹410.

Let's denote the cost price of the article as 'x'.

So, when the article is sold for ₹700, the profit is ₹700 - x.

When the article is sold for ₹410, the loss is x - ₹410.

According to the problem, the profit is 717717% more than the loss. So we can write this relationship as:

700 - x = 1.717717 * (x - 410)

Solving this equation will give us the cost price 'x'.

Once we have the cost price, we can calculate the selling price for a desired profit of 10%. The selling price would be 110% of the cost price, or 1.1 * x.

Let's solve the equation:

700 - x = 1.717717 * (x - 410)

This simplifies to:

700 - x = 1.717717x - 703.16407

Adding x to both sides gives:

700 = 2.717717x - 703.16407

Adding 703.16407 to both sides gives:

1403.16407 = 2.717717x

Dividing both sides by 2.717717 gives:

x = 516.4 (approximately)

So the cost price of the article is approximately ₹516.4.

To find the selling price for a desired profit of 10%, we multiply the cost price by 1.1:

Selling price = 1.1 * 516.4 = ₹568.04 (approximately)

So, the selling price of the article, if a profit of 10% is desired, is approximately ₹568.04. The closest option to this value is ₹560. Therefore, the answer is ₹560.