Question

an article is sold for rupees 500 and hence a loss is includes 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

Let the C.P of the article be Rs.x

When S.P = Rs. 500,
Loss = Rs. (x - 500)

When S.P = Rs. 700,
Profit = Rs. (700 - x)

A/Q, Profit = 3 × Loss

=> 700 - x = 3 ( x - 500)

=> 700 - x = 3x - 1500

=> 3x + x = 700 + 1500

=> 4x = 2200

=> x = 2200/4

=> x = 550


.°. The cost price (C.P) of the article is Rs.550.

Answer 2

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