Question 68

Two persons A and B undertake to paint a house for Rs. 54,000/-, A alone can paint the house in 40 days and Balone canpaint the house in 45 days, A and B along with a third person C complete painting in 20 days. Then, the share of C is (in rupees)

Solution

Share

Let the total work be = 360 units 
Hence, A can complete 360/40 = 9 units/day and B can complete 360/45 = 8 units/day 

It is given that A,B,C together finish the work in 20 days i.e. all 3 complete 18 units/day 
Hence, C alone does 18-9-8 = 1 unit/day 

Hence, share of C = (1/18)*54,000 = 3000 rupees 

Was this solution helpful?

Get AI Help

View More Questions From Reasoning

Create a FREE account and get:

  • Download Maths Shortcuts PDF
  • Get 300+ previous papers with solutions PDF
  • 500+ Online Tests for Free

Book Free CAT Mentorship

Get personalized CAT strategy from a 99%iler

500+ students mentored
CAT mentor

Join CAT 2026 course by 5-Time CAT 100%iler

Start your IIM journey with the right preparation and crack CAT 2026.

Enroll Now
Ask AI