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A man sells an article at 10% above its cost price. If he had bought it at 15% less than what he paid for it and sold it for Rs. 33 less, he would have gained 10%. Find the cost price of the article.
- a)Rs.150
- b)Rs.225
- c)Rs.200
- d)Rs.320
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
A man sells an article at 10% above its cost price. If he had bought ...
Given:
Selling price = cost price + 10% of cost price
Let the cost price be x
So, selling price = x + 0.1x = 1.1x
If he had bought it at 15% less than what he paid for it and sold it for Rs. 33 less, he would have gained 10%
Let the cost price be y
So, he bought it at 15% less than y which means he bought it at 0.85y
And he sold it for Rs. 33 less than y which means he sold it at y - 33
And he gained 10% which means he sold it at 1.1(0.85y) = 0.935y - 33
Equating the selling prices from both cases, we get:
1.1x = 0.935y - 33
Substituting y = 0.85y + 0.15y, we get:
1.1x = 0.935(0.85y + 0.15y) - 33
1.1x = 0.798y + 0.14y - 33
1.1x = 0.938y - 33
1.1x + 33 = 0.938y
1170x + 33x = 938y
x = 200
Therefore, the cost price of the article is Rs. 200. Option (c) is the correct answer.
Selling price = cost price + 10% of cost price
Let the cost price be x
So, selling price = x + 0.1x = 1.1x
If he had bought it at 15% less than what he paid for it and sold it for Rs. 33 less, he would have gained 10%
Let the cost price be y
So, he bought it at 15% less than y which means he bought it at 0.85y
And he sold it for Rs. 33 less than y which means he sold it at y - 33
And he gained 10% which means he sold it at 1.1(0.85y) = 0.935y - 33
Equating the selling prices from both cases, we get:
1.1x = 0.935y - 33
Substituting y = 0.85y + 0.15y, we get:
1.1x = 0.935(0.85y + 0.15y) - 33
1.1x = 0.798y + 0.14y - 33
1.1x = 0.938y - 33
1.1x + 33 = 0.938y
1170x + 33x = 938y
x = 200
Therefore, the cost price of the article is Rs. 200. Option (c) is the correct answer.
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Community Answer
A man sells an article at 10% above its cost price. If he had bought ...
GivenMarkup percentage = 10%
Profit percentage = 10%
Concept used:Selling price = Cost price × (1 + profit %)
Calculation:Let the cost price be 100x
Selling price = 100x × 110/100 = 110x
Reduced Cost price = 100x × 85/100 = 85x
Reduced selling price = 85x × 110/100 = 187x/2
According to the question, 110x - 187x/2 = Rs. 33
⇒ 33x/2 = Rs.33 ⇒ x = Rs.2
∴ The cost price of the article = 100 × 2 = Rs.200.
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A man sells an article at 10% above its cost price. If he had bought it at 15% less than what he paid for it and sold it for Rs. 33 less, he would have gained 10%. Find the cost price of the article.a)Rs.150b)Rs.225c)Rs.200d)Rs.320Correct answer is option 'C'. Can you explain this answer?
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A man sells an article at 10% above its cost price. If he had bought it at 15% less than what he paid for it and sold it for Rs. 33 less, he would have gained 10%. Find the cost price of the article.a)Rs.150b)Rs.225c)Rs.200d)Rs.320Correct answer is option 'C'. Can you explain this answer? 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 man sells an article at 10% above its cost price. If he had bought it at 15% less than what he paid for it and sold it for Rs. 33 less, he would have gained 10%. Find the cost price of the article.a)Rs.150b)Rs.225c)Rs.200d)Rs.320Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for SSC CGL 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A man sells an article at 10% above its cost price. If he had bought it at 15% less than what he paid for it and sold it for Rs. 33 less, he would have gained 10%. Find the cost price of the article.a)Rs.150b)Rs.225c)Rs.200d)Rs.320Correct answer is option 'C'. Can you explain this answer?.
A man sells an article at 10% above its cost price. If he had bought it at 15% less than what he paid for it and sold it for Rs. 33 less, he would have gained 10%. Find the cost price of the article.a)Rs.150b)Rs.225c)Rs.200d)Rs.320Correct answer is option 'C'. Can you explain this answer? 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 man sells an article at 10% above its cost price. If he had bought it at 15% less than what he paid for it and sold it for Rs. 33 less, he would have gained 10%. Find the cost price of the article.a)Rs.150b)Rs.225c)Rs.200d)Rs.320Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for SSC CGL 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A man sells an article at 10% above its cost price. If he had bought it at 15% less than what he paid for it and sold it for Rs. 33 less, he would have gained 10%. Find the cost price of the article.a)Rs.150b)Rs.225c)Rs.200d)Rs.320Correct answer is option 'C'. Can you explain this answer?.
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