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The cost price of an article was _________. There was a loss of 22% after selling the article at 40% discount. So, the shopkeeper had incre…

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The cost price of an article was _________. There was a loss of 22% after selling the article at 40% discount. So, the shopkeeper had increased the marked price of the article by 40% but had allowed the same discount percent. He earned Rs. 184 as profit after increasing the marked price.
  • ARs. 2200
  • BRs. 2000
  • CRs. 1800
  • DRs. 2400
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Discussion 1

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Let CP of the article be x and MP be y

∴ 78% of x = 60% of y

⇒ 39x/50 = 3y/5

⇒ x = 10y/13

And, 60% of 140% of y - x = 184

⇒ 21y/25 - x = 184

⇒ 21y/25 - 10y/13 = 184

⇒ (273y - 250y)/325 = 184

⇒ 23y = 184 × 325

⇒ y = 2600

∴ CP of the article = x = 10y/13 = Rs. 2000