Multiple choice

A shopkeeper gets a profit of 30% by selling an article. If the shopkeeper buys the article at 10% less than its price and sells it at 10% less than its selling price, the difference in the profit he makes is Rs. 300. Find the cost price of the article?

  1. Rs.10000

  2. Rs.20000

  3. Rs.5000

  4. Rs.7500

  5. None of these
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let CP=100. Initial SP=130. New CP=90, new SP=117. New profit=27. Difference=130-117=13 (30-27). Actual CP=3000÷13≈230.77. Checking: original profit=69.23, new profit=62.31, difference≈6.92. This is inconsistent. Recalculating with CP=10000: profit changes from 3000 to 2700, difference=300. CP=Rs.10000.

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