In a college, 40% students are graduates. If the number of graduates is 7000, then what are the total number of students in the college?a)19500b)18000c)17500d)21500Correct answer is option 'C'. Can you explain this answer?

Question

Answer

GIVEN:

Percentage number of graduates = 40%

Number of graduates = 7000

CALCULATION:

Let total students be x.

Graduates = 40% = 4x/10 = 7000

→ x = 70000/4 = 17500

Answer

Understanding the Problem
To find the total number of students in the college, we know that 40% of the students are graduates, and the number of graduates is given as 7000.
Using Percentages
- We can express the relationship between the number of graduates and the total number of students using the percentage formula:
Total Students = Number of Graduates / Percentage of Graduates
- Here, the percentage of graduates is 40%, or in decimal form, 0.40.
Calculation Steps
- We can rewrite the formula for total students as follows:
Total Students = 7000 / 0.40
- Now, performing the calculation:
Total Students = 7000 / 0.40
= 7000 / (40/100)
= 7000 * (100/40)
= 7000 * 2.5
= 17500
Final Answer
- Therefore, the total number of students in the college is 17500.
- The correct option is C.
Summary
- Total number of students = 17500
- Graduates = 7000
- Percentage of graduates = 40%
This breakdown helps us understand how the total number of students was derived from the number of graduates and the given percentage.

Answer

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