# What will be the Gain or Loss Percent? if

The coast price of an item is two-third of its selling price. What is the gain or loss percent on that item ?

- 45
- 50
- 35
- 54

Answer = 50

Given , CP = (2/3)SP

Profit = SP – CP = SP – (2/3)SP = (1/3)SP

Profit % = (Profit/CP) *100 = ((1/3)SP / (2/3)SP)*100 = 50

**Answer: (2) 50 %**

**Explanation:-**

Let the selling price of an item = Rs. X

The cost price of an item is two-third of its selling price.

Then, the cost price = 2 X / 3

Profit = X – 2 X / 3

= (3 X – 2 X )/3

= X/ 3

Profit percent = (X/ 3) x 100/( 2 X/3)

= X x 100 x 3/3 x 2 X

= 100/2

= 50 %.

Then, the profit percent is 50 %.

Hence, the answer is (2) 50 %.