Multiple choice

A, B and C can do a work in 20 days, 25 days and 30 days respectively. They finished the work together and earned Rs. 3700 as wages. Find the wages earned by only B (in Rs).

  1. 1500

  2. 1200

  3. 1000

  4. 1800
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The work done by A, B, and C is inversely proportional to their time. Their work rates are 1/20, 1/25, and 1/30. The ratio of their work is 15:12:10. B's share is (12 / (15+12+10)) * 3700 = (12/37) * 3700 = 1200.

AI explanation

Using the ratio method for wages, the work efficiency ratio of A, B and C is the inverse of their time, which is 1/20 : 1/25 : 1/30. Finding the least common multiple of 20, 25 and 30 gives 300, making the efficiency ratio 15 : 12 : 10. B's share of the total wage is calculated by multiplying the ratio fraction (12/37) by Rs. 3700, resulting in Rs. 1200. The result is Rs. 1200.

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