in an office their offices in workers the average salary of the offices in workers is 20250 the average salary of
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1
This is a question in which we can use Weighted Mean formula
Weighted Mean is given by
W = (N₁M₁ + N₂M₂) ÷ (N₁ + N₂)
here N₁ and N₂ are number of officers and no. of workers resp
and M₁ and M₂ are mean salary of officers and mean salary of workers resp
W = 20250
N₁ = 30, N₂ = let this be x
M₁ = 50000, M₂ = 15000
Putting values, we get
20250 = [ (30)(50000) + (x)(15000) ] / (x + 30)
20250(x + 30) = 1500000 + 15000x
2025(x + 30) = 150000 + 1500x
2025x + 60750 = 150000 + 1500x
525x = 89250
x = 170
Therefore, no. of workers is 170.
Weighted Mean is given by
W = (N₁M₁ + N₂M₂) ÷ (N₁ + N₂)
here N₁ and N₂ are number of officers and no. of workers resp
and M₁ and M₂ are mean salary of officers and mean salary of workers resp
W = 20250
N₁ = 30, N₂ = let this be x
M₁ = 50000, M₂ = 15000
Putting values, we get
20250 = [ (30)(50000) + (x)(15000) ] / (x + 30)
20250(x + 30) = 1500000 + 15000x
2025(x + 30) = 150000 + 1500x
2025x + 60750 = 150000 + 1500x
525x = 89250
x = 170
Therefore, no. of workers is 170.
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12
A sinecure... is an office, carrying a salary or otherwise generating income, that requires or involves little or no responsibility, labour, or active service.
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