Anita and Anand can complete the work in 12 days and 18 days, respectively. They undertook to complete that work for ₹48,000. With the help of Arun, they completed the work in 6 days. Find the sum of the shares of Anita and Anand (in ₹).
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 40000.
Combined work rate of Anita and Anand = 1/12 + 1/18 = 5/36
Combined work rate of all three = 1/6
Arun's work rate = 1/6 - 5/36 = 1/36
Anita : Anand : Arun = 1/12 : 1/18 : 1/36 = 3 : 2 : 1
Sum of Anita and Anand's shares = (5/6) × 48000 = 40000