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A man sold an article at a profit of 10%. If he had charged Rs 45 more his profit percentage would have been 25%. What is the cost price?
  • a)
    Rs 200
  • b)
    Rs 300
  • c)
    Rs 250
  • d)
    None of these
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A man sold an article at a profit of 10%. If he had charged Rs 45 more...
Profit%= 10%
SP= CP+ (10/100)*CP = 11CP/10.
Now if he had sold it for RS.45 more, profit% given is 25%.
SP+45= CP + (25/100)*CP
SP + 45= 5CP/4
Substitute SP = 11 CP/10 in the above equation.
You get CP = RS. 300
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Most Upvoted Answer
A man sold an article at a profit of 10%. If he had charged Rs 45 more...
Given information:
Profit percentage = 10
Additional amount charged = Rs 45
New profit percentage = 25

Let’s assume the cost price of the article to be ‘x’.

Calculation:
Profit percentage = (Selling price - Cost price) / Cost price * 100
10 = (Selling price - x) / x * 100
10x = 100(Selling price - x)
10x = 100S - 100x
110x = 100S
Selling price = 1.1x

Profit percentage = (Selling price - Cost price) / Cost price * 100
25 = (Selling price + 45 - x) / x * 100
25x = 100(Selling price + 45 - x)
25x = 100(1.1x + 45 - x)
25x = 110x + 4500 - 100x
25x - 10x = 4500
15x = 4500
x = 300

Therefore, the cost price of the article is Rs 300.

Answer: b) Rs 300
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Community Answer
A man sold an article at a profit of 10%. If he had charged Rs 45 more...
Cost price =300
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A man sold an article at a profit of 10%. If he had charged Rs 45 more his profit percentage would have been 25%. What is the cost price?a)Rs 200b)Rs 300c)Rs 250d)None of theseCorrect answer is option 'B'. Can you explain this answer?
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