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The profit percent earned by selling an article at Rs. 750 is 5 times of the loss percent occurred by selling that article at Rs. 450. What is the cost price of the article?
  • a)
    Rs. 475
  • b)
    Rs. 500
  • c)
    Rs. 525
  • d)
    Rs. 630
  • e)
    None of these
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
The profit percent earned by selling an article at Rs. 750 is 5 times...
Let the cost price be x and the loss percentage be l.
∴ Profit percentage = 5l%
Now, selling at Rs. 750,
750 − xx × 100 = 5l
⇒ l = (750 − x) × 20x.....(i)
And, selling at Rs. 450,
x − 450x × 100 = l.....(ii)
From equation (i) and (ii),
(750 − x) × 20x = x − 450x × 100
⇒ 750 − x = 5(x − 450)
⇒ 6x = 750 + 2250 = 3000
⇒ x = 30006 = 500
Thus, the cost price is Rs. 500
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The profit percent earned by selling an article at Rs. 750 is 5 times of the loss percent occurred by selling that article at Rs. 450. What is the cost price of the article?a)Rs. 475b)Rs. 500c)Rs. 525d)Rs. 630e)None of theseCorrect answer is option 'B'. Can you explain this answer?
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