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The average monthly salary of 660 workers in a factory is Rs. 380. The average monthly salary of officers is Rs. 2100 and the average monthly salary of the other workers is Rs. 340. Find the number of other workers.

A. 645

B. 650

C. 640

D. 642

Answer: Option A

Solution(By Examveda Team)

$$\eqalign{ & {\text{Total}}\,{\text{salary}}\,{\text{of}}\,660\,{\text{workers}} \cr & = 660 \times 380 \cr & = Rs.\,250800 \cr & {\text{If}}\,{\text{other}}\,{\text{workers}}\,{\text{be}}\,x;\,{\text{then}}, \cr & = \left[ {\left( {660 - x} \right) \times 2100} \right] + 340x \cr & = 250800 \cr & Or,\,1386000 - 2100x + 340x = 250800 \cr & 1760x = 1135200 \cr & {\text{Hence}},\,x = \frac{{1135200}}{{1760}} = 645 \cr & {\text{Number}}\,{\text{of}}\,{\text{other}}\,{\text{workers}} = 645 \cr} $$

This Question Belongs to Arithmetic Ability >> Average

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Comments ( 12 )

  1. Srabani Biswas
    Srabani Biswas :
    9 months ago

    Ohk here the short cut trick
    Total money - spending money
    380 - 340 =40
    Then
    a)660×40= 26400
    b)2100-340= 1760
    a-b = 15
    Then ,
    660-15 =645

  2. Fraz Ahmad
    Fraz Ahmad :
    1 year ago

    Yr easy method Kia hai

  3. Dvij_ Pundir
    Dvij_ Pundir :
    2 years ago

    Shortcut method
    If I given avg salary all workers(spend money) =(340×660)
    Total money=(660×380)
    Than total money - spend money= some money left.
    {660×380- 660×340) =(660×40)
    Than nums of officers = 660×40/2100-340
    = 660×30/1760
    =15
    Total number of others workers =660-15 645 .


  4. Rahul Kumar
    Rahul Kumar :
    2 years ago

    Shot cut m nhi hoga

  5. Taiba Saleem
    Taiba Saleem :
    2 years ago

    We want short tricks plz

  6. Anu Priya
    Anu Priya :
    3 years ago

    For no. Of workers= 660×(2100-380)/2100-340

    For no. of officers = 660× (380-340 )/2100-340

  7. Madhuri Bisoi
    Madhuri Bisoi :
    3 years ago

    2100-380=1720(let no. Of officer x)
    380-340=40(let no. Of other worker y)
    Then 1720x-40y=0
    1720x=40y
    x/y=1/43
    Total worker be 43a+1a=44a
    a=660/44=15
    No. Of other worker is 15×43=645

  8. Patel Janvi
    Patel Janvi :
    4 years ago

    Let, no. Of worker= x
    Therefore no.of officers = 660-x
    Salary of workers = 340 * x
    & Salary of officers = 2100 * (660-x)
    Now,
    Total salay = 660*380
    Total salay = salary of officers+ salary of workers
    (660*380)= (2100*(660-x))+340x
    250800=1386000-2100x+340x
    1760x=1135200
    X=1135200/1760
    Therefore, x= 645

  9. Azka Noor
    Azka Noor :
    4 years ago

    Formula : Average Salary=Total Salary/No of wrkr
    Total Salary of wrkrs=660x380=250800
    Let x be the no. Of other workers, then put values of averages respectively in above mentioned formula.
    340=Total Salary of other wrkrz / x
    Total salary of other wrkrz= 340x
    Now, for officers
    2100 =Total salary of officers / 660-x
    Total salary of officers =2100(660-x)
    Since we know that;
    Total salary of workers = Total salary of Officers + Total salary of other workers
    250800 = 2100(660-x) + 340x
    250800 = 1386000-2100x+340x
    250800 - 1386000 = -2100x + 340x
    -1135200 = -1760x
    645 = x

  10. Mohd Irfan
    Mohd Irfan :
    5 years ago

    Out of my understanding were from 113860 came.

  11. C# Corner
    C# Corner :
    5 years ago

    i can't understand this solution

  12. Aman Sharma
    Aman Sharma :
    6 years ago

    Can't we have simpler way of getting this done this trick would entirely destroy the whole of preferences in exam

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