Question

Two factory plants are making TV panels. Yesterday, Plant A produced

9000

panels. Six percent of the panels from Plant A and
1
%

of the panels from Plant B were defective. How many panels did Plant B produce, if the overall percentage of defective panels from the two plants was
4
%

?

Answer 1

Explanation:

Alright, lets get started.

Plant A produced 9000 panels.

Suppose plant B produced x panels.

Number of defective panels plant A produced =
`9000*(6)/(100)=540`

Number of defective panels plant B produced =
`x*(1)/(100)=(x)/(100)`

Total defective panels =
`540 + (x)/(100)`

We are given that, overall percentage of defective panels from the two plants was 4%.

`(9000+x)(4)/(100)=540 + (x)/(100)`

`360+(4x)/(100)=540+(x)/(100)`

`(3x)/(100)=180`

Cross multiplying

`x=(180*100)/(3)`

`x=6000`

hence plant B produced 6000 panels. : Answer

Hope it will help :)