Multiple choice

X can do a piece of work in 5 days while Y can do the same work in 4 days. Both of them finish the work together and get Rs. 250. What is the share of X?

  1. Rs. 142.50

  2. Rs. 115

  3. Rs. 120

  4. Rs. 111.11

  5. None of these
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Work rates are 1/5 and 1/4. Ratio of work done is 1/5 : 1/4 = 4 : 5. Total parts = 9. X's share = (4/9) * 250 = 111.11.

AI explanation

The earnings are divided based on efficiency, which is the inverse of the days taken, so the ratio of X's share to Y's share is 1/5 to 1/4, or 4:5. The total earnings of Rs. 250 are divided into 9 equal parts, meaning each part is Rs. 250/9. X receives 4 parts, which is Rs. 1000/9, equaling approximately Rs. 111.11.

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