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An article is sold for ₹1,683 after giving three successive discounts of x %, 10% and 12% on its marked price of ₹2,500. If a single discou…

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An article is sold for ₹1,683 after giving three successive discounts of x %, 10% and 12% on its marked price of ₹2,500. If a single discount of 3x % is given on the same marked price, then the selling price (in ₹) of the article will be:

  • A1,450
  • B1,300
  • C1,375
  • D1,150
Correct answer: C

Explanation

Marked price ₹2,500 and selling price ₹1,683: (1 − x/100) × 0.9 × 0.88 = 1683/2500, so 1 − x/100 = 0.85 and x = 15. A single discount of 3x = 45% gives 2500 × 0.55 = ₹1,375.

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