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If the shopkeeper keeps the marked price of an article to Rs. 2500 and says to give two successive discounts of 15% and 20% and still manag…

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If the shopkeeper keeps the marked price of an article to Rs. 2500 and says to give two successive discounts of 15% and 20% and still manages to earn a profit of 10%, find the cost price of the article?
  • ARs. 1525.45
  • BRs. 1545.45
  • CRs. 1595.65
  • DRs. 1625.45
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Let the cost price be x

Marked price of article = Rs. 2500

Price after first discount = (85/100) × 2500 = Rs. 2125

Price paid by purchaser = (80/100) × 2125 = Rs. 1700

Profit = 10%

⇒ x + (10/100) × x = 1700

⇒ x = Rs. 1545.45

∴ Cost price = Rs. 1545.45