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Question

A picnic is being planned in a school for ClassVII. Girls are 60% of the total number of students and are 18 in number. The picnic site is 55kmfrom the school and the transport company is charging at the rate of Rs12perkm. The total cost of refreshments will be Rs4280. Find the cost per head if two teachers are also going with the class?


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Solution

Step 1- Finding the total cost

Distance of Picnic site from school =55km

Total distance traveled =Distance from school to picnic site +Distance from picnic site to school

=55+55=110km

Cost of Transportation per km =Rs12

So, the cost of transportation for 110km=Rs12×110

=Rs1320

Cost of Refreshment=Rs4280

Total Cost =Total transportation cost +Refreshment cost

=1320+4280

=Rs5600

Step 2- Finding the cost per head

Let the total students be x

Number of girls =60%of the total number of students

18=60% of x

rightwards double arrow 18 equals space 60 over 100 cross times space x space space space space space space space space space space space space space space open parentheses because space o f space m e a n s space m u l t i p l i c a t i o n close parentheses
rightwards double arrow 18 equals space fraction numerator 60 x over denominator 100 end fraction
rightwards double arrow 18 equals fraction numerator 6 x over denominator 10 end fraction
rightwards double arrow x equals fraction numerator 18 cross times 10 over denominator 6 end fraction
rightwards double arrow x equals 3 cross times 10
rightwards double arrow x equals 30

Total number of students = 30

Given two teachers are also going with the class

Total person =Number of Students+ Number of teachers

=30+2=32

Cost per person = TotalcostTotalperson

=560032=Rs175

Hence, cost per head =Rs175


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