1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

# The average salary of all the workers in a workshop is ₹11500. If the average salary of 5 technicians is ₹8000 and the average salary of the rest of the workers is ₹14000, then the total number of workers in the workshop is

A
11
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
12
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
13
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
14
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

## The correct option is B 12Let: T = Total number of workers ST = Sum of salaries of T workers S5 = Sum of salaries of 5 workers Average of numbers = Sum of numbersTotal number of numbers ∴ 11500 = Sum of total salary of workersTotal number of workers ⇒11500=STT ⇒ST=11500×T .........(i) and 8000=Sum of salary of 5 workers5 ⇒S5=8000×5 ⇒S5=40000 …..(ii) and, 14000=Sum of (T-5) workers(T-5)workers ⇒ST–S5=14000×(T–5) …..(iii) Substituting the values of (i) and (ii) in (iii), we get ⇒11500×T−40000=14000×(T−5) ⇒115T–400=140T–700 ⇒700–400=140T–115T ⇒300=25T ⇒T=12 Therefore, there are total of 12 workers in the workshop. Hence, the correct answer is option (b).

Suggest Corrections
0
Join BYJU'S Learning Program
Related Videos
Inter - Conversion of Fractions and Decimals
MATHEMATICS
Watch in App
Join BYJU'S Learning Program