Question

an article is sold for rupees 500 and hence a loss is incurred had the article been sold for rupees 700 the shopkeeper would have gained three times the former loss what is the cost price of the article​

Answer 1

Answer=₹550

Step by Step Explanation

Let CP be=₹x

SP=₹500

loss Had Be Occurred.

Then Loss=CP-SP

=₹(X-500)

NOW IF SP=700

Gain Will be 3 times the loss (x-500)

We know

CP+Gain=SP

X+3(x-500)=700

X+3x-1500=700

4x=700+1500

4x=2200

X=2200/4

X=550

CP=x=₹550

CP=₹550

Answer 2

Hello buddy,

● Answer -
Cost price = ₹ 550

● Explaination -
Let x be original price of the article.

When article is sold for ₹500,
Loss = x - 500

When article is sold for ₹700,
Profit = 700 - x

Given that, Profit = 3 × Loss
700 - x = 3 (x - 500)
700 - x = 3x - 1500
700 + 1500 = 3x + x
4x = 2200
x = ₹ 550

Therefore, cost price of the article must be ₹550.

Hope this helps you..