Multiple choice

Three technicians—Arun, Bala, and Charan—can complete a machine-assembly job on their own in 12, 18, and 36 days, respectively. Their daily wages are Rs. 900, Rs. 600, and Rs. 400, respectively. If all three work together from the start and are paid their respective daily wages for each day they work, what is the total amount (in Rs.) paid to complete the job?

  1. 11,100

  2. 11,400

  3. 14,100

  4. 14,400
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Work rates: A=1/12, B=1/18, C=1/36. Combined rate = (3+2+1)/36 = 6/36 = 1/6. Job takes 6 days. Total wages = 6 * (900 + 600 + 400) = 6 * 1900 = 11400.

AI explanation

Using the Least Common Multiple (LCM) method, let the total work be 36 units, making the daily work capacities of Arun, Bala, and Charan 3, 2, and 1 units respectively. Working together, their combined capacity is 6 units per day, so they complete the 36 units in 6 days. The combined daily wage to pay all three workers is 900 + 600 + 400 = 1900 rupees. Multiplying this daily payout by the 6 days required yields a total payment of 11400 rupees.

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