Question
Download Solution PDFComprehension
Directions: Read the following information carefully and answer the given questions:-
In school, the total number of students is 14,000. On the annual function of the school, 25% of the total boys and 60% of total girls have participated and the number of total girls in the school is equal to the number of boys who have not participated in the function.
Find the number of boys who have participated in annual function of the school.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFTotal number of students = 14,000
Percentage of boys who participated in annual function = 25%
Percentage of girls who participated in annual function = 60%
Number of girls in school = Number of boys who have not participated in function
Concept used:
Total number of boys or girls = Number of those who participated + Number of those who have not participated
Calculation:
Let the number of boys and girls be x and y respectively
Number of boys who have participated in annual function = 25% of x
⇒ 0.25x
Number of boys who have not participated = (x – 0.25x)
⇒ 0.75x
Number of girls in school = y = 0.75x
Now, as per the question
⇒ x + y = 14,000
⇒ x + 0.75x = 14,000
⇒ 1.75x = 14,000
⇒ x = 8000
Number of boys who have participated in annual function = 0.25x
⇒ 0.25 × 8000
⇒ 2000
∴ The number of boys who have participated in annual function is 2000
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