Multiple choice

Arun, Varun and Tarun, if working alone, can complete a task in 24, 21, and 15 days, respectively. They charge Rs. 2,160, Rs. 2,400, and Rs. 2,160 per day, respectively, even if they are employed for a partial day. On any given day, any of the workers may or may not be employed to work. If the task needs to be completed in 10 days or less, then the minimum possible amount, in rupees, required to be paid for the entire task is

  1. 34,400

  2. 38,400

  3. 47,040

  4. 38,880

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

To minimize cost, use the most efficient workers. Arun (1/24), Varun (1/21), Tarun (1/15). Tarun is fastest. To finish in 10 days, we need total work = 1. Tarun does 10/15 = 2/3. Remaining 1/3 work can be done by Varun in (1/3)*21 = 7 days. Total cost = 10*2160 + 7*2400 = 21600 + 16800 = 38400.