Multiple choice

A man planned to sell an article at 20% profit, but mistakenly sold it at a 10% loss, which means he sold it for ₹27 less than the intended price. What is the smallest 3-digit number possible that can be made whose sum of the digits is equal to the sum of the digits of the cost price?

  1. 117

  2. 126

  3. 135

  4. None of the above
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let CP be x. 1.2x - 0.9x = 27, so 0.3x = 27, x = 90. The sum of digits of 90 is 9. The smallest 3-digit number with sum of digits 9 is 108. Since 108 is not listed, 'None of the above' is correct.

AI explanation

The 30% difference between the intended 20% profit and the actual 10% loss equals Rs. 27, meaning 30% of the cost price is 27 and the cost price is Rs. 90. The sum of the digits of the cost price is 9, so we must find the smallest 3-digit number with a digit sum of 9, which is 108. Since 108 is not listed among the choices, the correct answer is None of the above.

Keep practicing — related questions