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: Apr 29, 2024
Hide Solution
Verified By Collegedunia
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%
Was this answer helpful?
0
1
Hide Solution
Verified By Collegedunia
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%.
Was this answer helpful?
0
0
Top Questions on Profit and Loss
- The swimming pool in an exclusive club is a circular strip. A water flow is artificially maintained in the strip, along a clockwise direction, at a constant speed of 3km/h (kilometers/hour). One morning, Ayub and Rana start swimming at the same time from two diametrically opposite points on the strip. Ayub swims in a counterclockwise direction, while Rana swims in a clockwise direction. They swim at constant, but different, speeds. When they meet again after Rana has covered 60m (meters), they meet again after Rana has covered 180m from the first meeting point.
If Rana swims at the speed of 3 km/h in still water, how long does Ayub take to complete one round of the circular strip, if he swims in the clockwise direction?
- A bought an article at a certain price and sold it at 10% profit. B bought the same article at a price 10% lesser than A and sold it at ₹18 lesser than A. B's gain percentage in this deal is 20%. At what price B bought the article?
- CUET (PG) - 2025
- General
- Profit and Loss
- A vegetable vendor by means of his false balance defrauds to the extent of \(10%\) in buying goods and also defrauds to \(10%\) in selling, then the gain percent is
- A merchant earns \(25%\) profit in general. Once his \(25%\) consignment was abducted forever by some thieves. Trying to compensate for his loss he sold the rest of his consignment by increasing his selling price by \(20%\). What is the new percentage profit or loss?
- A shopkeeper bought an item for ₹7825 and marked it at 30% higher than the cost price. If he sells the item by allowing 20% discount, then his profit percentage will be:
- CUET (PG) - 2025
- General
- Profit and Loss
View More Questions
Questions Asked in CAT exam
- The passage given below is followed by four summaries. Choose the option that best captures the essence of the passage.
In the dynamic realm of creativity, artists often find themselves at the crossroads between drawing inspiration from diverse cultures and inadvertently crossing into the territory of cultural appropriation. Inspiration is the lifeblood of creativity, driving artists to create works that resonate across borders. In a globalized era of the modern world, artists draw from a vast array of cultural influences. When approached respectfully, inspiration becomes a bridge, fostering understanding and appreciation of cultural diversity. However, the line between inspiration and cultural appropriation can be thin and easily blurred.
Cultural appropriation occurs when elements from a particular culture are borrowed without proper understanding, respect, or acknowledgment. This leads to the commodification of sacred symbols, the reinforcement of stereotypes, and the erasure of the cultural context from which these elements originated. It is essential to recognize that the impact of cultural appropriation extends beyond the realm of artistic expression, influencing societal perceptions and perpetuating power imbalances.- CAT - 2025
- Para Summary
- The number of distinct integers $n$ for which $\log_{\left(\frac14\right)}(n^2 - 7n + 11)>0$ is:
- CAT - 2025
- Linear Inequalities
- In the set of consecutive odd numbers $\{1, 3, 5, \ldots, 57\}$, there is a number $k$ such that the sum of all the elements less than $k$ is equal to the sum of all the elements greater than $k$. Then, $k$ equals?
- CAT - 2025
- Number Systems
- The number of distinct pairs of integers $(x, y)$ satisfying the inequalities $x>y \ge 3$ and $x + y<14$ is:
- CAT - 2025
- Number Systems
For any natural number $k$, let $a_k = 3^k$. The smallest natural number $m$ for which \[ (a_1)^1 \times (a_2)^2 \times \dots \times (a_{20})^{20} \;<\; a_{21} \times a_{22} \times \dots \times a_{20+m} \] is:
- CAT - 2025
- Linear Inequalities
View More Questions