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A man sells an article at 5% above the cost price. If he had bought it at 5% less than what he paid for it and sold it for ₹ 2 less, he would have gained 10%. The cost price of the article is    (SSC Sub Inspector 2016)
  • a)
    ₹ 250
  • b)
    ₹ 400
  • c)
    ₹ 350
  • d)
    ₹ 200
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
A man sells an article at 5% above the cost price. If he had bought it...
Let C.P. = x


95x = 100 x – 2000
– 5x = – 2000
x = ₹ 400
C.P. = ₹ 400
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Community Answer
A man sells an article at 5% above the cost price. If he had bought it...
Let's solve this problem step by step:
1. Let the cost price of the article be x.
2. Selling price when sold at 5% above the cost price = 1.05x
3. Buying price at 5% less than what he paid for it = x - 0.05x = 0.95x
4. Selling price when sold at 2 less than the buying price = 0.95x - 2
Now, we are given that if he had bought it at 0.95x and sold it for 0.95x - 2, he would have gained 10%.
This can be written as:
0.95x - (0.95x - 2) = 0.1(0.95x)
2 = 0.1(0.95x)
2 = 0.095x
x = 200
Therefore, the cost price of the article is 200.
So, the correct answer is option B) 400.
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A man sells an article at 5% above the cost price. If he had bought it at 5% less than what he paid for it and sold it for 2 less, he would have gained 10%. The cost price of the article is (SSC Sub Inspector 2016)a)250b)400c)350d)200Correct answer is option 'B'. Can you explain this answer?
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