67 Views

Question : (N + 18) persons, each working for 7.5 hours a day, can complete 48% of the work in 20 days. (N + 12) persons can complete the remaining work in 30 days if each works 6.5 hours per day. Determine the value of N.

Option 1: 18

Option 2: 16

Option 3: 20

Option 4: 22


Team Careers360 23rd Jan, 2024
Answer (1)
Team Careers360 25th Jan, 2024

Correct Answer: 18


Solution : Number of hours (N + 18) people worked in a day, $T_1$ = 7.5 hours
Number of days they worked for, $D_1$ = 20 days
Fraction of work completed by them, $W_1$ = 0.48
Number of hours (N + 12) people worked in a day, $T_2$ = 6.5 hours
Fraction of work completed by them, $W_2$ = 0.52
Number of days they worked for, $D_2$ = 30 days
Now, we know $\frac{M_1\times D_1\times T_1}{W_1}=\frac{M_2\times D_2\times T_2}{W_2}$
So, $\frac{(N+18)\times 20\times 7.5}{0.48}=\frac{(N+12)\times 6.5\times 30}{0.52}$
⇒ $(N+18) =(N+18)\times 12 $
⇒ $11N=18\times 11$
⇒ $N= 18$
Hence, the correct answer is 18.

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