Multiple choice

One day the ratio of the number of first class and second class passengers who travelled were in the ratio 1 : 30 The ratio of the first and second class fares is 3 : 1 The total amount collected from the passengers that day was Rs 66000 Find the amount collected from the first class passengers (in Rs)

  1. Rs 3000

  2. Rs 6000

  3. Rs 9000

  4. Rs 12000
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let passengers be 1x and 30x. Fares are 3y and 1y. Total = (1x * 3y) + (30x * 1y) = 3xy + 30xy = 33xy = 66000. xy = 2000. First class collection = 3xy = 3 * 2000 = 6000.

AI explanation

Multiply the fare ratio by the passenger ratio to find the ratio of total collections, which is (3 * 1) to (1 * 30), giving 3:30 or 1:10. The total parts are 11, and the amount collected from first class passengers is (1/11) of 66000, which equals 6000.

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