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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.

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. Correct Answer 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,

⇒ /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%.

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