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
Latest: SSC CGL preparation tips to crack the exam
Don't Miss: SSC CGL complete guide
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.
Related Questions
Know More about
Staff Selection Commission Combined Grad ...
Answer Key | Eligibility | Application | Selection Process | Preparation Tips | Result | Admit Card
Get Updates Brochure
Your Staff Selection Commission Combined Graduate Level Exam brochure has been successfully mailed to your registered email id “”.
