WBCS.LIVE practice question

In an examination a student was asked to find \frac{5}{16} of a number. By mistake, he found \frac{5}{6} of that number. If his answer was 150 more than the correct answer, then the number is

Solve this multiple-choice question and check the correct answer with its explanation below.

Answer options

  1. 288
  2. 188
  3. 280
  4. 278

Correct answer and explanation

Correct answer: 288

Explanation: āœ… Correct Answer: A. 288 šŸ“š Explanation: Let the number be x. The error is (5/6)x - (5/16)x = 150. Finding a common denominator of 48 gives (40x - 15x) divided by 48 = 150. This simplifies to 25x = 150 multiplied by 48. Therefore, x = 6 multiplied by 48, which equals exactly 288.