Multiple choice

The selling price of 'n' pencils is same as the cost price of 10 pencils. If during this sale, the shop owner incurs a loss of 50%, then the value of 'n' is

  1. 15

  2. 20

  3. 18

  4. 19

  5. 21
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let CP of one pencil be 1. Then CP of 10 pencils is 10. Selling price of n pencils is 10. A 50% loss means SP = 0.5 * CP. So 10 = 0.5 * (n * 1), which means n = 20.

AI explanation

Let the cost price of one pencil be 1 unit, making the cost price of 10 pencils equal to 10 units. Since the selling price of n pencils is the same as the cost price of 10 pencils, the selling price of each pencil is 10/n units. The shopkeeper incurs a 50% loss, so the selling price is 50% of the cost price, giving the equation 10/n = 0.5. Solving for n gives n = 20.

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