Question

An article is marked 25% above its cost price. If x% discount is allowed on the marked price and still there is a profit of 5.5%, then what is the value of x?
1. 13.6
2. 15.4
3. 15.6
4. 16.4

Answer 1

Correct Answer - Option 3 : 15.6

Given: 

An article is Marked 25% above the cost price.

After giving x% discount still makes a profit of 5.5%.

Concept: 

S.P = [(100 + gain%)/100] × C.P

S.P = [M.P - (M.P × Discount%)]

Calculation:

Let the cost price of the article is 100 unit.

According to the question

The selling price of the article is 

⇒ [(100 + 5.5)/100] × 100

⇒ 105.5 units 

The Marked price of the article is 

⇒ [100 + (100 × 25%)]

⇒ 100 + 25

⇒ 125 units 

Also,

The selling price of the article is 

⇒ [125 - (125 × x%)] = 105.5

⇒ 125 - 5x/4 = 105.5

⇒ 5x/4 = 19.5

⇒ x = 19.5 × 4/5

⇒ x = 15.6

∴ The required value of x is 15.6.