Question

A factory has 1600 workers out of which 450 workers work in department A, 30% of remaining work in department B and rest in department C. Find the percentage of workers in department C.

Answer 1

Answer:

Step-by-step explanation:

number of workers=1600

department A=450

remaining=1600-450=1150

department B=30*1150/100

=115*3=345

rest in C=1150-345=805

% of workers in C=805/1600=50% approx

Answer 2

Answer:

50.31 %

Step-by-step explanation:

First we will find the no. of workers in C

department then we change it into

percentage .

Given:

450 wokers work in department is A .

30 % of remaining work in department B .

and Rest in department C .

To find:

Percentage of workers in department C

Solution:

Let, x worker work in C ,

According to question,

$450 + 30\% \: of \: (1600 - 450) + x = 1600 \\ \\ \frac{30}{100} \times 1150 + x = 1600 - \: 450 \ \\ \\ \ 345 + x = 1150 \\ \\ x = 1150 - 345 \\ \\ x =8 05$

So, 805 workers work in department C .

In percentage ,

$\frac{805}{1600} \times 100\% \\ \\ \frac{805}{16} \% \\ \\ 50.3125 \: \% \\ \\ 50.31\%$

Hence, 50.31 % workers work in C department .