Multiple choice

A shopkeeper sold 14 pieces of a pen for Rs. 2700 and his profit is equal to the cost price of 4 pieces of the pen. Find the difference between the selling price and the cost price of 14 pieces of the pen?

  1. 600

  2. 800

  3. 900

  4. 700
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A Correct answer
Explanation

Let CP of 1 pen = x. Then SP of 14 pens = 2700, so SP of 1 pen = 2700/14. Profit on 14 pens = CP of 4 pens = 4x. Using the formula Profit = SP - CP: 14 × (2700/14) - 14x = 4x, which gives 2700 = 18x, so x = 150. CP of 14 pens = 14 × 150 = 2100. The difference SP - CP = 2700 - 2100 = 600.

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