Multiple choice

Four men A, B, C and D can do a piece of work in 20 days, 30 days, 40 days and 60 days, respectively. A and B work together for 8 days and C and D work together for 5 days. The remaining work is completed by E, a new person. For the work completed, they all together get some money. How much more money does E get than C, if total amount paid to all the five is Rs. 2400?

  1. Rs. 0

  2. Rs. 500

  3. Rs. 800

  4. Rs. 1,000

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

Work done by A and B in 8 days: 8 * (1/20 + 1/30) = 8 * (5/60) = 2/3. Work done by C and D in 5 days: 5 * (1/40 + 1/60) = 5 * (5/120) = 5/24. Total work done = 2/3 + 5/24 = 21/24 = 7/8. Remaining work = 1/8. Since E does 1/8 of the work, and C does 5/40 = 1/8, they do the same amount of work and get the same pay.

AI explanation

Assuming the total work is 120 units, the capacities of A, B, C, and D are 6, 4, 3, and 2 units per day. A and B complete 80 units in 8 days, C and D complete 25 units in 5 days, and E completes the remaining 15 units. Since E and C both complete 15 units and 15 units is 1/8 of the total work, they each receive Rs. 300, meaning E gets Rs. 0 more than C.

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