Question
Download Solution PDFA alone can do a piece of work in 10 days and B alone can do the same work in 15 days. A and B agreed to complete the work for ₹30,000. With the help of C, they completed the work in 5 days. Then the amount to be paid to C is
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
A can complete the work in 10 days
B can complete the work in 15 days
Total payment = ₹30,000
A, B and C together complete the work in 5 days
C’s share is \(\frac{1}{3}\) of A’s share
Formula used:
Work per day = 1 / Time
Share = (Work ratio) × Total amount
Calculation:
Work per day of A = 1/10
Work per day of B = 1/15
Work per day of A + B + C = 1/5
⇒ 1/10 + 1/15 + C = 1/5
⇒ LCM = 30
⇒ 3/30 + 2/30 + C = 6/30
⇒ 5/30 + C = 6/30
⇒ C = 1/30
Now, work ratios per day:
A : B : C = 1/10 : 1/15 : 1/30
⇒ LCM = 30, so ratio becomes 3 : 2 : 1
Total ratio = 3 + 2 + 1 = 6 parts
C’s share = 1/6 × ₹30,000 = ₹5,000
A’s share = 3/6 × ₹30,000 = ₹15,000
Now check: \(\frac{1}{3} \text{ of A’s share} = \frac{1}{3} \times 15,000 = 5,000\)
∴ The correct answer is Option (4).
Last updated on Sep 27, 2023
The Telangana Police SI Notification is expected to be released soon. The TSLPRB has concluded the previous cycle recently on in August 2023. The upcoming notification is a golden opportunity for candidates who want to join the police force in the state of Telangana. Candidates must attempt the Telangana Police SI mock tests. The Telangana Police SI previous year papers can be downloaded here.