Question

In an international school, 60% of the staff is of teachers and 40% of teachers are earning more than Rs.37,325. If 50% of the school's staff earn more than Rs.37,325 per year, then find which statement is correct.

a) Percentage of administrative staff earn Rs.37,325 or less per year is less than 30%.

b) Percentage of administrative staff earn Rs.37,325 or less per year is more than 30%.

c) Percentage of administrative staff earn Rs.37,325 or less per year is exactly 30%.

Select the correct answer.

1. a only
2. b only
3. c only
4. both a and c 

Answer 1

Correct Answer - Option 2 : b only

Given∶

60% of the staff is of teachers.

Out of these 40% are earning more than Rs.37,325.

Also, 50% of the total staff earn more than Rs.37,325 per year.

Formula Used∶

Simple concept of percentage.

Calculation∶

Let the total number of staff be 100

Number of teachers,

⇒ 

(60 × 100)/100 = 60

And Number of administrative staff, 

⇒ (40 × 100)/100 = 40

Number of teachers earn more than Rs.37,325,

⇒ [60 × 40]/100 = 24

Total number of staff earning more than Rs.37,325,

⇒ 

(50 × 100)/100 = 50

Number of administrative staff earn more than Rs.37,325 = Total staff earning more than Rs.37,325 - No. of teachers earn more than Rs.37,325

⇒ 

 50- 24 = 26

Number of administrative staff earn Rs.37,325 or less,

⇒ 

40 - 26 = 14

Percentage of administrative staff earning Rs.37,325 or less,

⇒ 

(14 × 100)/40 = 35%

∴ The required percent of administrative staff earning Rs.37,325 or less is 35%.