SSC CGL Exam > SSC CGL Questions > A shopkeeper purchased an article for Rs. 'a'...
Start Learning for Free
A shopkeeper purchased an article for Rs. 'a' and marked it 175% above its cost price and sold it after giving two successive discounts of 40% and 20%, respectively, and earned a profit of Rs. 4a/5. Find the marked price of the article.?
Most Upvoted Answer
A shopkeeper purchased an article for Rs. 'a' and marked it 175% above...
Given:
- Cost price of the article = Rs. 'a'
- Marked price of the article is 175% above its cost price
- Two successive discounts of 40% and 20% are given
- Profit earned = Rs. 4a/5
To find:
- Marked price of the article
Solution:
Let's solve this problem step by step.
1. Find the selling price after giving two successive discounts:
- First discount = 40%
- Second discount = 20%
Let the selling price after the first discount be SP1.
SP1 = Cost price - (Discount 1% * Cost price)
SP1 = a - (40/100 * a)
SP1 = a - 2a/5
SP1 = 3a/5
Let the selling price after the second discount be SP2.
SP2 = SP1 - (Discount 2% * SP1)
SP2 = (3a/5) - (20/100 * (3a/5))
SP2 = (3a/5) - (3a/25)
SP2 = (15a - 3a)/25
SP2 = 12a/25
2. Calculate the profit earned:
Profit = Selling price - Cost price
Profit = SP2 - Cost price
Profit = 12a/25 - a
Profit = (12a - 25a)/25
Profit = -13a/25
Given that the profit earned is Rs. 4a/5, we have:
-13a/25 = 4a/5
3. Solve for 'a':
Cross multiplying the equation, we get:
-65a = 100a
165a = 0
a = 0
Since 'a' cannot be zero (as it represents the cost price), there is no solution to this equation.
Conclusion:
There is no solution to this problem as the given information leads to an inconsistent equation. Therefore, we cannot find the marked price of the article.
- Cost price of the article = Rs. 'a'
- Marked price of the article is 175% above its cost price
- Two successive discounts of 40% and 20% are given
- Profit earned = Rs. 4a/5
To find:
- Marked price of the article
Solution:
Let's solve this problem step by step.
1. Find the selling price after giving two successive discounts:
- First discount = 40%
- Second discount = 20%
Let the selling price after the first discount be SP1.
SP1 = Cost price - (Discount 1% * Cost price)
SP1 = a - (40/100 * a)
SP1 = a - 2a/5
SP1 = 3a/5
Let the selling price after the second discount be SP2.
SP2 = SP1 - (Discount 2% * SP1)
SP2 = (3a/5) - (20/100 * (3a/5))
SP2 = (3a/5) - (3a/25)
SP2 = (15a - 3a)/25
SP2 = 12a/25
2. Calculate the profit earned:
Profit = Selling price - Cost price
Profit = SP2 - Cost price
Profit = 12a/25 - a
Profit = (12a - 25a)/25
Profit = -13a/25
Given that the profit earned is Rs. 4a/5, we have:
-13a/25 = 4a/5
3. Solve for 'a':
Cross multiplying the equation, we get:
-65a = 100a
165a = 0
a = 0
Since 'a' cannot be zero (as it represents the cost price), there is no solution to this equation.
Conclusion:
There is no solution to this problem as the given information leads to an inconsistent equation. Therefore, we cannot find the marked price of the article.
Attention SSC CGL Students!
To make sure you are not studying endlessly, EduRev has designed SSC CGL study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in SSC CGL.
|
Explore Courses for SSC CGL exam
|
|
Similar SSC CGL Doubts
Top Courses for SSC CGLView all
A shopkeeper purchased an article for Rs. 'a' and marked it 175% above its cost price and sold it after giving two successive discounts of 40% and 20%, respectively, and earned a profit of Rs. 4a/5. Find the marked price of the article.?
Question Description
A shopkeeper purchased an article for Rs. 'a' and marked it 175% above its cost price and sold it after giving two successive discounts of 40% and 20%, respectively, and earned a profit of Rs. 4a/5. Find the marked price of the article.? for SSC CGL 2024 is part of SSC CGL preparation. The Question and answers have been prepared according to the SSC CGL exam syllabus. Information about A shopkeeper purchased an article for Rs. 'a' and marked it 175% above its cost price and sold it after giving two successive discounts of 40% and 20%, respectively, and earned a profit of Rs. 4a/5. Find the marked price of the article.? covers all topics & solutions for SSC CGL 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A shopkeeper purchased an article for Rs. 'a' and marked it 175% above its cost price and sold it after giving two successive discounts of 40% and 20%, respectively, and earned a profit of Rs. 4a/5. Find the marked price of the article.?.
A shopkeeper purchased an article for Rs. 'a' and marked it 175% above its cost price and sold it after giving two successive discounts of 40% and 20%, respectively, and earned a profit of Rs. 4a/5. Find the marked price of the article.? for SSC CGL 2024 is part of SSC CGL preparation. The Question and answers have been prepared according to the SSC CGL exam syllabus. Information about A shopkeeper purchased an article for Rs. 'a' and marked it 175% above its cost price and sold it after giving two successive discounts of 40% and 20%, respectively, and earned a profit of Rs. 4a/5. Find the marked price of the article.? covers all topics & solutions for SSC CGL 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A shopkeeper purchased an article for Rs. 'a' and marked it 175% above its cost price and sold it after giving two successive discounts of 40% and 20%, respectively, and earned a profit of Rs. 4a/5. Find the marked price of the article.?.
Solutions for A shopkeeper purchased an article for Rs. 'a' and marked it 175% above its cost price and sold it after giving two successive discounts of 40% and 20%, respectively, and earned a profit of Rs. 4a/5. Find the marked price of the article.? in English & in Hindi are available as part of our courses for SSC CGL.
Download more important topics, notes, lectures and mock test series for SSC CGL Exam by signing up for free.
Here you can find the meaning of A shopkeeper purchased an article for Rs. 'a' and marked it 175% above its cost price and sold it after giving two successive discounts of 40% and 20%, respectively, and earned a profit of Rs. 4a/5. Find the marked price of the article.? defined & explained in the simplest way possible. Besides giving the explanation of
A shopkeeper purchased an article for Rs. 'a' and marked it 175% above its cost price and sold it after giving two successive discounts of 40% and 20%, respectively, and earned a profit of Rs. 4a/5. Find the marked price of the article.?, a detailed solution for A shopkeeper purchased an article for Rs. 'a' and marked it 175% above its cost price and sold it after giving two successive discounts of 40% and 20%, respectively, and earned a profit of Rs. 4a/5. Find the marked price of the article.? has been provided alongside types of A shopkeeper purchased an article for Rs. 'a' and marked it 175% above its cost price and sold it after giving two successive discounts of 40% and 20%, respectively, and earned a profit of Rs. 4a/5. Find the marked price of the article.? theory, EduRev gives you an
ample number of questions to practice A shopkeeper purchased an article for Rs. 'a' and marked it 175% above its cost price and sold it after giving two successive discounts of 40% and 20%, respectively, and earned a profit of Rs. 4a/5. Find the marked price of the article.? tests, examples and also practice SSC CGL tests.
|
|
Explore Courses for SSC CGL exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup