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In a class three subjects, English, Science and Mathematics are taught. It is known that 25% students like Mathematics, 60% students like English and
Question

In a class three subjects, English, Science and Mathematics are taught. It is known that 25% students like Mathematics, 60% students like English and 45 students like Science. If each student likes only one subject, then find the total number of students in the class.

A.

350

B.

400

C.

250

D.

300

Correct option is D

Given:
Students who like Mathematics = 25%
Students who like English = 60%
Students who like Science = 45 students
Formula Used:
Total percentage = 100%
Total students = Value% \frac{Value}{\%}​ × 100
Solution:
Since each student likes only one subject, the sum of their percentages must equal 100%.
Percentage of students who like Science = 100 - (25 + 60)
Percentage = 100 - 85 = 15%
We know that 15% corresponds to 45 students.
Let the total number of students be x.
15100×x=45\frac{15}{100} × x = 45​​
x = 45×10015 \frac{45 × 100}{15}​​
x = 3 × 100 = 300
The total number of students is 300.
Final Answer
So the correct answer is (d)

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