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A man bought an article and sold it at a gain of 5 %. If he had bought it at 5% less and sold it for Re 1 less, he would have made a profit of 10%. The C.P. of the article was

  • a)
    200

  • b)
    480

  • c)
    450

  • d)
    400

Correct answer is option 'A'. Can you explain this answer?
Verified Answer
A man bought an article and sold it at a gain of 5 %. If he had bought...
Let original Cost price is x
Its Selling price = 105/100 * x = 21x/20 
New Cost price = 95/100 * x = 19x/20 
New Selling price = 110/100 * 19x/20 = 209x/200 
[(21x/20) - (209x/200)] = 1 

=> x = 200
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Most Upvoted Answer
A man bought an article and sold it at a gain of 5 %. If he had bought...
Given,
Gain percentage = 5%

Let the cost price of the article be x.

Selling price = x + 5% of x = 1.05x

Now, according to the question,

If he had bought it at 5% less, the cost price would be (0.95x)

And, if he had sold it for Re 1 less, the selling price would be (1.05x - 1)

And, he would have made a profit of 10% on this transaction.

Therefore,

Profit percentage = (Profit / Cost price) * 100

10 = [(1.05x - 1) - 0.95x] / (0.95x) * 100

10 = (0.1x - 1) / (0.95x) * 100

950x = 10(0.1x - 1)

950x = x - 10

x = Rs. 200 (Option A)

Therefore, the cost price of the article was Rs. 200.
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Community Answer
A man bought an article and sold it at a gain of 5 %. If he had bought...
Let original Cost Price = CP
Original profit = 10% of CP
Original Selling Price =1.1 x CP
New CP = 0.80 x CP
New Selling Price = 1.1CP + 10
New Profit = 1.1CP + 10 - 0.8CP = 0.3CP + 10
This is equal to 40% of new CP.
0.3CP + 10 = 40/100 x 0.8CP
10 = 0.02CP
=> CP = 10/0.02 = 500
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A man bought an article and sold it at a gain of 5 %. If he had bought it at 5% less and sold it for Re 1 less, he would have made a profit of 10%. The C.P. of the article wasa)200b)480c)450d)400Correct answer is option 'A'. Can you explain this answer?
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A man bought an article and sold it at a gain of 5 %. If he had bought it at 5% less and sold it for Re 1 less, he would have made a profit of 10%. The C.P. of the article wasa)200b)480c)450d)400Correct answer is option 'A'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about A man bought an article and sold it at a gain of 5 %. If he had bought it at 5% less and sold it for Re 1 less, he would have made a profit of 10%. The C.P. of the article wasa)200b)480c)450d)400Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A man bought an article and sold it at a gain of 5 %. If he had bought it at 5% less and sold it for Re 1 less, he would have made a profit of 10%. The C.P. of the article wasa)200b)480c)450d)400Correct answer is option 'A'. Can you explain this answer?.
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