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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.?
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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.
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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.?
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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.?.
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