Question

an article is marked 25% above its cost price. if a discount of 25% is given on the marked price, when there is​

Answer 1

Answer:

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.

Answer 2

Answer:

$\sf\huge\blue{\underbrace{\red{Answer↓}}}:$

$\huge{\fcolorbox{gold}{Red}{6.25\% Loss}}$

Step-by-step explanation:

Let us assume the Cost Price of the article to be ₹100.

On marking it at 25% above its Cost Price,

$\frac{125}{100} \times 100$

$= \frac{12500}{100}$

$= 125$

So, the Marked Price is ₹125

Now, on allowing a discount of 25% on the Marked Price,

$\frac{75}{100} \times 125$

$= \frac{9375}{100}$

$= 93.75$

The Discount Price is ₹93.75.

Since, the Discount Price is less than the Marked Price, there has been an initial decrease in the Price of the article.

Percentage of Loss,

$\frac{100 - 93.75}{100} \times 100\%$

$= \frac{6.25}{100} \times 100\%$

$= \frac{625}{100}$

$= 6.25\%$

Therefore, overall loss percent is 6.25%

• Therefore, when the cost of an article is increased by x%, and then decreased by x%, there is always a loss.