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A shop keeper sells an article at 20% loss. If he sells it for 100 more, he would earn a profit of 10%.The cost price is
- a)Rs. 333.33
- b)Rs. 666.66
- c)Rs. 166.25
- d)Rs. 150.25
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
A shop keeper sells an article at 20% loss. If he sells it for 100 mor...
As per the given data
Let the cost price be x and selling price be y
Given that shopkeeper sells an article at 20% loss
⇒ x – 20x/100 = y
⇒ 80x/100 = y
⇒ x = 5y/4
⇒ 4x - 5y = 0.…eq 1
Also given that if he sells it for 100 more, he would earn a profit of 10%
⇒ x + 10/100 x = y + 100
⇒ 11x = 10y + 1000
⇒ 11x - 10y = 1000.…eq 2
Multiply eq 1 with 2 , we get
⇒ 8x – 10 y = 0 …eq 3
⇒ subtract eq 3 from eq 2 , we get
⇒ 3x = 1000
⇒ x = 333.33
Therefore cost price of the article = Rs.333.33
Let the cost price be x and selling price be y
Given that shopkeeper sells an article at 20% loss
⇒ x – 20x/100 = y
⇒ 80x/100 = y
⇒ x = 5y/4
⇒ 4x - 5y = 0.…eq 1
Also given that if he sells it for 100 more, he would earn a profit of 10%
⇒ x + 10/100 x = y + 100
⇒ 11x = 10y + 1000
⇒ 11x - 10y = 1000.…eq 2
Multiply eq 1 with 2 , we get
⇒ 8x – 10 y = 0 …eq 3
⇒ subtract eq 3 from eq 2 , we get
⇒ 3x = 1000
⇒ x = 333.33
Therefore cost price of the article = Rs.333.33
Most Upvoted Answer
A shop keeper sells an article at 20% loss. If he sells it for 100 mor...
Given:
- The shopkeeper sells an article at a 20% loss.
- If he sells it for 100 more, he would earn a profit of 10%.
To Find:
The cost price of the article.
Let's assume the cost price of the article is 'x' rupees.
Calculating the Selling Price with 20% Loss:
When the shopkeeper sells the article at a 20% loss, he sells it for 80% of the cost price.
So, the selling price with a 20% loss is (80/100) * x = 0.8x.
Calculating the Selling Price with 10% Profit:
When the shopkeeper sells the article for 100 more, he earns a profit of 10%.
So, the selling price with a 10% profit is (110/100) * x = 1.1x.
According to the given information, the selling price with a 20% loss is 100 less than the selling price with a 10% profit. Therefore, we can write the equation:
0.8x + 100 = 1.1x
Solving the Equation:
Subtracting 0.8x from both sides of the equation:
100 = 0.3x
Dividing both sides of the equation by 0.3:
x = 100/0.3
x ≈ 333.33
Therefore, the cost price of the article is approximately Rs. 333.33.
Hence, the correct option is 'A' (Rs. 333.33).
- The shopkeeper sells an article at a 20% loss.
- If he sells it for 100 more, he would earn a profit of 10%.
To Find:
The cost price of the article.
Let's assume the cost price of the article is 'x' rupees.
Calculating the Selling Price with 20% Loss:
When the shopkeeper sells the article at a 20% loss, he sells it for 80% of the cost price.
So, the selling price with a 20% loss is (80/100) * x = 0.8x.
Calculating the Selling Price with 10% Profit:
When the shopkeeper sells the article for 100 more, he earns a profit of 10%.
So, the selling price with a 10% profit is (110/100) * x = 1.1x.
According to the given information, the selling price with a 20% loss is 100 less than the selling price with a 10% profit. Therefore, we can write the equation:
0.8x + 100 = 1.1x
Solving the Equation:
Subtracting 0.8x from both sides of the equation:
100 = 0.3x
Dividing both sides of the equation by 0.3:
x = 100/0.3
x ≈ 333.33
Therefore, the cost price of the article is approximately Rs. 333.33.
Hence, the correct option is 'A' (Rs. 333.33).
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A shop keeper sells an article at 20% loss. If he sells it for 100 more, he would earn a profit of 10%.The cost price isa)Rs. 333.33b)Rs. 666.66c)Rs. 166.25d)Rs. 150.25Correct answer is option 'A'. Can you explain this answer?
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A shop keeper sells an article at 20% loss. If he sells it for 100 more, he would earn a profit of 10%.The cost price isa)Rs. 333.33b)Rs. 666.66c)Rs. 166.25d)Rs. 150.25Correct answer is option 'A'. Can you explain this answer? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about A shop keeper sells an article at 20% loss. If he sells it for 100 more, he would earn a profit of 10%.The cost price isa)Rs. 333.33b)Rs. 666.66c)Rs. 166.25d)Rs. 150.25Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A shop keeper sells an article at 20% loss. If he sells it for 100 more, he would earn a profit of 10%.The cost price isa)Rs. 333.33b)Rs. 666.66c)Rs. 166.25d)Rs. 150.25Correct answer is option 'A'. Can you explain this answer?.
A shop keeper sells an article at 20% loss. If he sells it for 100 more, he would earn a profit of 10%.The cost price isa)Rs. 333.33b)Rs. 666.66c)Rs. 166.25d)Rs. 150.25Correct answer is option 'A'. Can you explain this answer? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about A shop keeper sells an article at 20% loss. If he sells it for 100 more, he would earn a profit of 10%.The cost price isa)Rs. 333.33b)Rs. 666.66c)Rs. 166.25d)Rs. 150.25Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A shop keeper sells an article at 20% loss. If he sells it for 100 more, he would earn a profit of 10%.The cost price isa)Rs. 333.33b)Rs. 666.66c)Rs. 166.25d)Rs. 150.25Correct answer is option 'A'. Can you explain this answer?.
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A shop keeper sells an article at 20% loss. If he sells it for 100 more, he would earn a profit of 10%.The cost price isa)Rs. 333.33b)Rs. 666.66c)Rs. 166.25d)Rs. 150.25Correct answer is option 'A'. Can you explain this answer?, a detailed solution for A shop keeper sells an article at 20% loss. If he sells it for 100 more, he would earn a profit of 10%.The cost price isa)Rs. 333.33b)Rs. 666.66c)Rs. 166.25d)Rs. 150.25Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of A shop keeper sells an article at 20% loss. If he sells it for 100 more, he would earn a profit of 10%.The cost price isa)Rs. 333.33b)Rs. 666.66c)Rs. 166.25d)Rs. 150.25Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
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