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The ratio of the number of UG students and PG students in a college is 5:4. If 40% of the UG students and 50 % of the PG students are scholarship holders. What percentage of the students does not get the scholarship?
  • a)
    54.5 %
  • b)
    55.5%
  • c)
    52 %
  • d)
    60 %
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The ratio of the number of UG students and PG students in a college i...
Let UG students be = 5x and PG students be = 4x respectively
Number of those who do not get scholarship,
= 60% of 5x + 50% of 4x = (60/100*5x) + (50/100*4x)
= 300x/100+ 200x /100 = 3x + 2x = 5x
Required percentage = (5x/9x) *100 = 55.5%
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Most Upvoted Answer
The ratio of the number of UG students and PG students in a college i...
Given:
- The ratio of UG students and PG students in a college is 5:4.
- 40% of UG students and 50% of PG students are scholarship holders.

To find:
- Percentage of students who do not get the scholarship.

Solution:

Let the total number of UG and PG students in the college be 5x and 4x respectively.

So, the total number of students in the college = 5x + 4x = 9x

Number of UG scholarship holders = 40% of 5x = 2x

Number of PG scholarship holders = 50% of 4x = 2x

Total number of scholarship holders = 2x + 2x = 4x

Therefore, the number of students who do not get the scholarship = Total number of students - Total number of scholarship holders

= 9x - 4x = 5x

Percentage of students who do not get the scholarship = (5x/9x) x 100% = 55.5%

Therefore, option (b) is the correct answer.

Note: The key to solving the problem is to understand that the ratio of UG and PG students is irrelevant to finding the percentage of students who do not get the scholarship. We just need to find the total number of scholarship holders and subtract it from the total number of students to get the number of students who do not get the scholarship.
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The ratio of the number of UG students and PG students in a college is 5:4. If 40% of the UG students and 50 % of the PG students are scholarship holders. What percentage of the students does not get the scholarship?a) 54.5 %b) 55.5%c) 52 %d) 60 %Correct answer is option 'B'. Can you explain this answer?
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