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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:
- The 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%.
To find:
The cost price of the article.
Solution:
Let's assume the cost price of the article is 'x'.
Case 1:
In the actual scenario, the man sells the article at 10% above its cost price.
Therefore, the selling price (SP) of the article = x + (10/100)x = 1.1x.
Case 2:
If the man had bought the article at 15% less than what he paid for it and sold it for Rs. 33 less, he would have gained 10%.
In this case, the buying price (BP) of the article = (1 - 15/100)x = 0.85x.
And the selling price (SP) of the article = x - 33.
According to the given information, the man would have gained 10% in this case, so we can write the equation:
0.85x + 10% of 0.85x = x - 33
Simplifying the equation:
0.85x + (0.1)(0.85x) = x - 33
0.935x = x - 33
0.935x - x = -33
-0.065x = -33
x = -33 / -0.065
x = 33 / 0.065
x = 3300 / 65
x = 60
Therefore, the cost price of the article is Rs. 60.
Hence, option 'C' is the correct answer. (Rs. 200)
- The 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%.
To find:
The cost price of the article.
Solution:
Let's assume the cost price of the article is 'x'.
Case 1:
In the actual scenario, the man sells the article at 10% above its cost price.
Therefore, the selling price (SP) of the article = x + (10/100)x = 1.1x.
Case 2:
If the man had bought the article at 15% less than what he paid for it and sold it for Rs. 33 less, he would have gained 10%.
In this case, the buying price (BP) of the article = (1 - 15/100)x = 0.85x.
And the selling price (SP) of the article = x - 33.
According to the given information, the man would have gained 10% in this case, so we can write the equation:
0.85x + 10% of 0.85x = x - 33
Simplifying the equation:
0.85x + (0.1)(0.85x) = x - 33
0.935x = x - 33
0.935x - x = -33
-0.065x = -33
x = -33 / -0.065
x = 33 / 0.065
x = 3300 / 65
x = 60
Therefore, the cost price of the article is Rs. 60.
Hence, option 'C' is the correct answer. (Rs. 200)
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Community Answer
A man sells an article at 10% above its cost price. If he had bought ...
Given:
Markup 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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