Ajeeta and Sanjeeta undertake a project for ₹48000. Further, it is known that Ajeeta can finish the project in 24 days and Sanjeeta can finish the project in 40 days while working alone. If the project gets completed in just 10 days when Ranjeeta also helped them in completing the project, then determine the amount that Ranjeeta would have received, if they distributed the amount in proportion to their respective working capability?
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → ₹16000
The money is shared in proportion to the work each person does. All three worked for the same 10 days, so each one’s share is the part of the project that person finished. A person who finishes a job alone in \(n\) days does \(\frac{1}{n}\) of it in a day.
The part each one finished (in the same 10 days):
Ajeeta’s part \(\displaystyle =\frac{10}{24}=\frac{5}{12}\)
Sanjeeta’s part \(\displaystyle =\frac{10}{40}=\frac{3}{12}\)
Ranjeeta did the rest: \(\displaystyle 1-\frac{5}{12}-\frac{3}{12}=\frac{4}{12}=\frac{1}{3}\)
Ranjeeta’s share (the money is shared in proportion to the work):
\(\displaystyle \frac{1}{3}\times48000=\) ₹16000