Time and Work Question 5 - CAT 2021
Anil can paint a house in 12 days while Barun can paint it in 16 days. Anil, Barun, and Chandu undertake to paint the house for ₹ 24000 and the three of them together complete the painting in 6 days. If Chandu is paid in proportion to the work done by him, then the amount in INR received by him is:
Step-by-Step Explanation
Anil, Barun, and Chandu work together for 6 days to finish the painting job.
Work completed by Anil in 6 days:
6 days/12 days = 1/2
Work completed by Barun in 6 days:
6 days/16 days = 3/8
Chandu completes the remaining fraction of the work:
Fraction completed by Chandu
= 1 − (1/2 + 3/8)
= 1 − 7/8
= 1/8
Chandu's financial compensation is directly proportional to his work output:
Amount received by Chandu
= 1/8 × ₹24,000
= ₹3,000
Correct Answer: 3000
💡 FundaMakers Tip:
When a group works together for the same number of days, ignore the missing worker's individual deadline entirely. Simply figure out the total work done by the known workers over those days. The remaining fraction gives the third worker's share of the payout directly.