Multiple choice

X and Y can complete a piece of work in 12 and 60 days, respectively. They contracted to complete the work together for Rs. 24,000. What will be the share (in Rs.) of X?

  1. 18,000

  2. 16,000

  3. 20,000

  4. 21,000
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The ratio of work done by X and Y is inversely proportional to the time taken. X takes 12 days and Y takes 60 days, so the ratio of their work is 60:12, which simplifies to 5:1. X's share is (5/6) * 24000 = 20000.

AI explanation

Wages are distributed in proportion to efficiency, which is inversely proportional to the time taken. The ratio of the time taken by X and Y is 12 to 60, so their efficiency ratio is 60 to 12, or 5 to 1. The total contract amount of 24,000 rupees is divided into 6 parts (5 plus 1). X's share is 5 parts of the total, which is 20,000 rupees.

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