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By Selling 5 articles for 18rupee, a man losses 10%. If he sells 3 articles for Rs. 15, then what will be the profit percentage?
  • a)
    75
  • b)
    66.67
  • c)
    30
  • d)
    25
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
By Selling 5 articles for 18rupee, a man losses 10%. If he sells 3 art...
Let, cost price of 5 article = Rs. x
Price at 10% loss = Rs. 18
According to problem,
⇒ x - x × 10/100 = 18
⇒ 0.9x = 18
⇒ x = 20
∴ Cost price of 5 article = Rs. 20
∴ Cost price of 3 article = Rs. 20 × 3/5 = Rs. 12
Selling price of 3 article = Rs. 15
∴ Profit percentage,
⇒15−1212×100%⇒15−1212×100% 

⇒ 25%
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Most Upvoted Answer
By Selling 5 articles for 18rupee, a man losses 10%. If he sells 3 art...
Given:
Selling price of 5 articles = Rs. 18
Loss percentage = 10%

To find:
Profit percentage when selling 3 articles for Rs. 15

Solution:
Let's first find the cost price of 5 articles.
Let the cost price of one article be x.
Selling price of 5 articles = 18
Selling price of one article = 18/5
We know, selling price = cost price + profit
So, cost price of one article = selling price - profit
Since the man incurs a loss of 10%, profit percentage = -10%
Profit of selling 5 articles = (18/5) * (10/100) = 18/50
Cost price of 5 articles = (18/5) - (18/50) = (36-3.6) = 32.4
Cost price of one article = 32.4/5 = 6.48

Now, let's find the profit percentage when selling 3 articles for Rs. 15
Cost price of 3 articles = 3 * 6.48 = 19.44
Profit = 15 - 19.44 = -4.44
Profit percentage = (4.44/19.44) * 100 = 22.84%
Since the profit is negative, we consider it as a loss and take its absolute value for calculating the percentage.

Therefore, the profit percentage when selling 3 articles for Rs. 15 is 22.84% (approx) which is closest to option D (25%).
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By Selling 5 articles for 18rupee, a man losses 10%. If he sells 3 articles for Rs. 15, then what will be the profit percentage?a)75b)66.67c)30d)25Correct answer is option 'D'. Can you explain this answer?
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