An article is marked 25% above its cost price. If x% discount is allow

1.	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. 13.62. 15.43. 15.64. 16.4
Answer» 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.

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. 13.62. 15.43. 15.64. 16.4

Answer» 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.

Discussion

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