Question Details

The following table shows the number of teachers in four colleges (male and female) and the percentage of trained teachers among them.

Colleges Male Female
No. of Teachers % of Trained Teachers No. of Teachers % of Trained Teachers
A 225 44 175 40
B 250 30 128 25
C 290 55 100 45
D 350 60 150 30

What is the total number of non-trained male teachers in college A and non-trained female teachers in college B?

Options

A

222

B

230

C

224

D

228

Show Answer

Correct Answer :

Option A

222

Solution :

The correct answer is 222.

To find the total number of non-trained male teachers in college A and non-trained female teachers in college B, we can calculate each part step-by-step using the data provided in the table:

Step 1: Calculate the number of non-trained male teachers in college A
From the table, the total number of male teachers in college A is 225, and the percentage of trained male teachers is 44%.
The percentage of non-trained male teachers in college A is:
100%-44%=56%
Now, calculate the number of non-trained male teachers:
225×56100=225×0.56=126

Step 2: Calculate the number of non-trained female teachers in college B
From the table, the total number of female teachers in college B is 128, and the percentage of trained female teachers is 25%.
The percentage of non-trained female teachers in college B is:
100%-25%=75%
Now, calculate the number of non-trained female teachers:
128×75100=128×0.75=96

Step 3: Find the total sum
Add the two values together to get the total:
126+96=222

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