Directions: Study the following information carefully and answer the questions that follow:
 
Percentage distribution of teachers who teach six different subjects
Total number of teachers = 1800
1
If two-ninths of the teachers who teach Physics are females, then the number of male Physics teachers is approximately what per cent of the total number of teachers who teach Chemistry?
» Explain it
A
If   2 th of physics are female teachers, then
9

Male teachers = 1 –  2  =  7 th of physics
9 9

Let's take x% of male physics teacher equal to Chemistry teachers, then

⇒  x% of Chemistry teacher =  7 th of physics
9

⇒  x% of (23% of 1800) =  7 th of (17% of 1800)
9

⇒  x% of 23 =  7 th of 17
9

⇒  x =  7  ×  17  × 100 = 57.4% ≈ 57%
9 23

Hence, option A is correct.

2
What is the total numbers of teachers who teach Chemistry, English and Biology?
» Explain it
B
(Chemistry + English + Biology)% of Total number of teachers

⇒ (23 + 27 + 12)% of 1800

⇒ 62% of 1800

⇒    62  × 1800 = 1116.
100

Hence, option B is correct.

3
What is difference between the total number of employees teacher who teach English and Physics together and total number of teacher who teach Mathematics and Biology together?
» Explain it
B
Req. difference = [(English + Physics) – (Mathematics + Biology)]% of 1800

⇒ [(27 + 17) – (13 + 12)]% of 1800

⇒ (44 – 25)% of 1800

⇒ 19% of 1800 =  19  × 1800 = 342.
100

Hence, option B is correct.

4
What is the ratio of the teachers who teach mathematics to the number of teachers who teach Hindi?
» Explain it
D
No. of teachers who teaches Mathematics : No. of teachers who teaches Hindi
 
⇒  13% of 1800 : 8% of 1800
 
⇒  13 : 8.

Hence, option D is correct.
 
5
If the percentage of Mathematics teachers is increased by 50% and percentage of Hindi teachers is decreased by 25% , what will be the total number of Mathematics and Hindi teachers together?
» Explain it
C
Percentage of Mathematics teacher = 13%

After increased by 50% it becomes, 13 + 6.5 = 19.5%

Similarly,

Percentage of Hindi teacher = 8%

After increased by 25% it becomes, 8 – 2 = 6%

Now, percentage of total teachers becomes, 19.5 + 6 = 25.5%

Therefore, 25.5% of 1800

⇒   25.5  × 1800 = 25.5 × 18 = 459.
100

Hence, option C is correct.


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