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      Question

      Rohan bought a gadget and sold it to Aman at a profit of

      30%. If he had purchased it for Rs. 1,500 less and sold it for Rs. 750 more, his profit would have been 45%. If the gadget is marked Rs. 3,500 above its actual cost and sold after a discount of 10%, what is the profit made?
      A Rs.1200 Correct Answer Incorrect Answer
      B Rs.1256 Correct Answer Incorrect Answer
      C Rs.1025 Correct Answer Incorrect Answer
      D Rs.1570 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let the original cost price of gadget be Rs. 100m.

      We have, 1.30 Γ— 100m = Rs. 130m

      ATQ:

      (130m + 750) = 1.45 Γ— (100m - 1,500)

      β†’ 130m + 750 = 145m - 2,175

      β†’ 15m = 2,925

      β†’ m = 195

      Original cost price = 195 Γ— 100 = Rs. 19,500

      Marked price = 19,500 + 3,500 = Rs. 23,000

      Selling price after 10% discount = 0.90 Γ— 23,000 = Rs. 20,700

      Profit = 20,700 - 19,500 = Rs. 1,200

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