5 Views

Question : Three persons undertake to complete a piece of work for Rs. 1,200. The first person can complete the work in 8 days, the second person in 12 days and the third person in 16 days. They complete the work with the help of a fourth person in three days. What does the fourth person get?

Option 1: Rs. 180

Option 2: Rs. 200

Option 3: Rs. 225

Option 4: Rs. 250


Team Careers360 22nd Jan, 2024
Answer (1)
Team Careers360 25th Jan, 2024

Correct Answer: Rs. 225


Solution : Given: Three persons undertake to complete a piece of work for Rs. 1,200.
The first person can complete the work in 8 days, the second person in 12 days and the third person in 16 days.
First person's 1 day's work = $\frac{1}{8}$
Second person's 1 day's work = $\frac{1}{12}$
Third person's 1 day's work = $\frac{1}{16}$
They complete the work with the help of a fourth person in three days.
Their 1 day's work = $\frac{1}{3}$
Fourth person's 1 day's work = $\frac{1}{3}-\frac{1}{8}-\frac{1}{12}-\frac{1}{16}=\frac{1}{16}$
Ratio of their efficiency = $\frac{1}{8}:\frac{1}{12}:\frac{1}{16}:\frac{1}{16}=6:4:3:3$
$\therefore$ Fourth person's share = $\frac{3}{6+4+3+3}×1200=\frac{3}{16}×1200=$ Rs. 225
Hence, the correct answer is Rs. 225.

SSC CGL Complete Guide

Candidates can download this ebook to know all about SSC CGL.

Download EBook

Know More About

Related Questions

TOEFL ® Registrations 2024
Apply
Accepted by more than 11,000 universities in over 150 countries worldwide
Manipal Online M.Com Admissions
Apply
Apply for Online M.Com from Manipal University
View All Application Forms

Download the Careers360 App on your Android phone

Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile

150M+ Students
30,000+ Colleges
500+ Exams
1500+ E-books