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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.
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.
Updated On: Sep 13, 2024
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Approach Solution - 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%
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Approach Solution -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%.
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