Question 60

In a class of 50 students and 6 teachers, each student got a number of chocolates that is equal to 16% of the total number of students, and each teacher got a number of chocolates that is equal to 12% of the total number of students. How many chocolates were there in total?

Solution

In a class of 50 students and 6 teachers, each student got a number of chocolates that is equal to 16% of the total number of students.

number of chocolates got by each student = 16% of total number of students

= 16% of 50

= $$\frac{16}{100}\times50$$

= 8

number of chocolates got by all the students taken together = $$8\times50$$ = 400    Eq.(i)

Each teacher got a number of chocolates that is equal to 12% of the total number of students.

number of chocolates got by each teacher = 12% of total number of students

= 12% of 50

= $$\frac{12}{100}\times50$$

= 6

number of chocolates got by all the teachers taken together = $$6\times6$$ = 36    Eq.(ii)

Total number of chocolates = Eq.(i)+Eq.(ii)

= 400+36

= 436


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