Ratio and Proportion Questions

Multiple choice
  1. Rs. 500

  2. Rs. 1500

  3. Rs. 2000

  4. Rs. 1000

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Initial price P = k * w^2 = 2000. Broken into two equal pieces, each weight is w/2. New price = k * (w/2)^2 + k * (w/2)^2 = k * (w^2/4 + w^2/4) = k * w^2 / 2. New price = 2000 / 2 = 1000. Loss = 2000 - 1000 = 1000.

Multiple choice
  1. $Rs. 750$
  2. $Rs. 850$
  3. $Rs. 1000$
  4. $Rs. 1250$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let passengers be 1x and 50x. Let fares be 3y and 1y. Total collection = (1x * 3y) + (50x * 1y) = 3xy + 50xy = 53xy = 1325. xy = 1325 / 53 = 25. Amount from 2nd class = 50x * 1y = 50xy = 50 * 25 = 1250.