Multiple choice

Two students appeared for an examination. One student secured 10% more marks than the other. The sum of marks of both students was 63% of the total marks. What percent are the marks of the student securing higher, of the total marks secured by both the students?

  1. 55%

  2. 53.25%

  3. 52.3%

  4. 54%

  5. 65%
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let the marks be x and 1.1x. The sum is 2.1x = 0.63 * T, where T is total marks. Thus, T = 2.1x / 0.63 = 3.333x. The higher mark is 1.1x. The percentage is (1.1x / 2.1x) * 100 = 52.38%.

AI explanation

Let the marks of the two students be 100 and 110. The combined marks are 210. The required percentage is (110 / 210) * 100, which equals 52.3%. The result is 52.3%.

Keep practicing — related questions