Multiple choice

By selling a pen for Rs. $15$, a man loses one-sixteenth of what it costs him. Find the cost price of one pen.

  1. Rs. $16$
  2. Rs $18$
  3. Rs. $20$
  4. Rs. $21$
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A Correct answer
Explanation

Let CP be x. Loss = x/16. SP = CP - Loss = x - x/16 = 15x/16. Given SP = 15, so 15x/16 = 15, which means x = 16.

AI explanation

The question gives the condition that the loss equals one-sixteenth of the cost price, establishing the equation Cost Price - 15 = Cost Price / 16. Multiplying the entire equation by 16 to clear the fraction gives 16 times the Cost Price minus 240 equals the Cost Price. Solving this, 15 times the Cost Price equals 240, so the Cost Price is 16. The cost price of one pen is Rs. 16.

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