Question

5. In a college, 12% of the total students are interested in sports and three-fourth of the total students are
interested in dancing, 10% of the total students are interested in singing and the remaining 15 students are not
interested in any activity. How many students are there in the college ?
(A) 450
(B) 500
(C) 600
(D) Can't be determined (E) None of these​

Answer 1

$\huge\bold{\red{\boxed{\bigstar{\bf{Correct\: Question}}}}}$

Out of the total number of students in a college 12% are interested in sports.3/4 of the total number of students are interested in dancing. 10% of the total number of students are interested in singing and the remaining 15 students are not interested in any of the activities. What is the total number of students in the college?

1) 450

2) 500

3) 600

4) Cannot be determined

5) None of these

$\huge\bold{\blue{\boxed{\bigstar{\bf{Answer:-}}}}}$

Let the no. of total students be $x$

✨No. of students interested for Sports :-

$</u><u>= ></u><u> \frac{12x}{100}$

✨No. of students interested for Dancing :-

$= > \frac{3x}{4} = > \frac{75x}{100}$

✨No. of students interested for Singing :-

$= > \frac{10x}{100}$

Total no. of students :-

$= > x - {( \frac{12x}{100}) +( \frac{75x}{100}) + ( \frac{10x}{100})} = 15$

$= > ( \frac{3x}{100} )= 15$

$= > x = 500$

Hence there are 500 students in the college.

Answer 2

${\underline{\huge{\mathbf{\color{pink}{question}}}}}$

Out of the total number of students in a college 12% are interested in sports.3/4 of the total number of students are interested in dancing. 10% of the total number of students are interested in singing and the remaining 15 students are not interested in any of the activities. What is the total number of students in the college?

1) 450

2) 500

3) 600

4) Cannot be determined

5) None of these

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${\underline{\huge{\mathbf{\color{blue}{solution}}}}}$

Let the no. of total students be x

No. of students interested for Sports $= \frac{12x}{100}$

No. of students interested for Dancing = $\frac{3x}{4} = \frac{75x}{100}$

No. of students interested for Singing = $\frac{10x}{100}$

Total no. of students :-

$x - {( \frac{12x}{100}) +( \frac{75x}{100}) + ( \frac{10x}{100})} = 15$

$( \frac{3x}{100} )= 15$

$x = 500$

Therefore total no. of students = 500

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