Question

The cost price of 20 articles is the same as the selling price of x article. If the profit is 25%, then the value of x is-
1. 25
2. 18
3. 16
4. 15

Answer 1

Correct Answer - Option 3 : 16

Given:

CP of 20 articles = SP of x articles

Profit = 25%

Formula Used:

%Profit = [(SP – CP)/CP] × 100

Calculation:

Let the CP of each article be a

And the SP of each article be b

So, the CP of 20 articles = 20a

Also, the SP of x articles = bx

According to the question,

20a = bx      ----(i)

Now, the equation for profit percentage becomes:

25 = [(b – a)/a] × 100

⇒ b = 1.25a      ----(ii)

On substituting the value of equation (ii) into equation (i), we get:

20a = 1.25a × x

⇒ x = 16

∴ The required value of x is 16