Multiple choice

The train ticket fare from places A to B in 2nd class AC and 3rd class AC is Rs. 2,500 and Rs. 2,000, respectively. If the fares of 2nd class AC and 3rd class AC are increased by 20% and 10%, respectively, then find the ratio of the new fares of 2nd class AC and 3rd class AC.

  1. $13 : 11$
  2. $15 : 11$
  3. $11 : 15$
  4. $12 : 11$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Original fares: 2nd class = Rs. 2,500, 3rd class = Rs. 2,000. New 2nd class = 2500 × 1.20 = Rs. 3,000. New 3rd class = 2000 × 1.10 = Rs. 2,200. New ratio = 3000:2200 = 30:22 = 15:11. Always apply percentage changes first, then simplify the ratio to lowest terms.