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The marked price of a photo-copier machine is Rs. 72,000. The machine was sold at a 5% discount. The shopkeeper still earned a profit of 14%. Find its cost price?
  1. Rs. 62400
  2. Rs. 60000
  3. Rs. 61500
  4. None of these
Explanation

Let's find the selling price (SP) after a 5% discount on the marked price (MP).

MP = Rs. 72,000

Discount = 5% of MP = 0.05 × 72,000 = Rs. 3,600

SP = MP - Discount = 72,000 - 3,600 = Rs. 68,400

The shopkeeper earned a 14% profit on the cost price (CP). Let's denote CP as x.

SP = CP + Profit

68,400 = x + 0.14x

68,400 = 1.14x

Now, find CP:

x = 68,400 / 1.14

x = 60,000

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