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A reduction of 24% in the price of an item enables a person to buy 4 kg more for Rs. 100. The reduced price of item per kg is

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A reduction of 24% in the price of an item enables a person to buy 4 kg more for Rs. 100. The reduced price of item per kg is
  • ARs. 5
  • BRs. 8
  • CRs. 9
  • DRs. 6
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CCommunity
Let the original price of the article be Rs. x per kg

New price = Rs. 76x/100 per kg

Given,

⇒ 100/(76x/100) – 100/x = 4

⇒ (10,000 – 7600)/76x = 4

⇒ 2400/4 = 76x

⇒ 600 = 76x

⇒ x = 150/19

New price = 76x/100 = 76/100 × 150/19 = 6 ≈ Rs. 6 per kg