Question

In a shop, the marked price of an article is Rs.4000. The shopkeeper gives some discount on that article and earns profit of Rs.550. Find the percentage discount on that article,if its cost price is Rs.2250.

Answer 1

Given Information: Marked Price (MP) of the article = Rs. 4000 

Profit earned by the shopkeeper = Rs. 550 

Cost Price (CP) of the article = Rs. 2250 

Calculating Selling Price (SP): 

We know that Profit = SP - CP. 

Therefore, the Selling Price can be calculated as: SP = CP + Profit 

SP = 2250 + 550 

SP = 2800 

Calculating Discount: 

Discount is the difference between the Marked Price and the Selling Price: 

Discount = MP - SP 

Discount = 4000 - 2800 

Discount = 1200 

Calculating Percentage Discount: 

Percentage Discount is calculated using the formula: 

Percentage Discount = (Discount / MP) * 100 

Percentage Discount = (1200 / 4000) * 100 

Percentage Discount = 30% 

So, the percentage discount on the article is 30%

Answer 2

Given information:

• Marked Price (MP) of the article = Rs. 4000
• Profit earned by the shopkeeper = Rs. 550
• Cost Price (CP) of the article = Rs. 2250
  Calculating Selling Price (SP):
  We know that Profit = SP - CP. Therefore, the Selling Price can be calculated as:
  \[ SP = CP + \text{Profit} \] \[ SP = 2250 + 550 \] \[ SP = 2800 \]
  Calculating Discount:
  Discount is the difference between the Marked Price and the Selling Price:
  \[ \text{Discount} = \text{MP} - \text{SP} \] \[ \text{Discount} = 4000 - 2800 \] \[ \text{Discount} = 1200 \]
  Calculating Percentage Discount:
  Percentage Discount is calculated using the formula:
  \[ \text{Percentage Discount} = \left( \frac{\text{Discount}}{\text{MP}} \right) \times 100 \] \[ \text{Percentage Discount} = \left( \frac{1200}{4000} \right) \times 100 \] \[ \text{Percentage Discount} = 30\% \]
  So, the percentage discount on the article is 30%.