JEE Exam > JEE Questions > Seats for Mathematics, Physics and Biology in...
Start Learning for Free
Seats for Mathematics, Physics and Biology in a school are in the ratio 5 : 7 : 8. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the ratio after increased seats?
- a)2 : 3 : 4
- b)6 : 7 : 8
- c)6 : 8 : 9
- d)None of these
Correct answer is option 'A'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
Seats for Mathematics, Physics and Biology in a school are in the rati...
Originally, let the number of seats for Mathematics, Physics and Biology be 5x, 7x and 8x respectively.
Number after increased seats are (140% of 5x), (150% of 7x) and (175% of 8x).
⇒ (140 / 100 x 5x), (150 / 100 x 7x) and (175 / 100 x 8x)
⇒ 7x, 21x / 2 and 14x.
⇒ 7x, 21x / 2 and 14x.
∴ the required ratio
= 7x : 21x / 2 : 14x
⇒ 14x : 21x : 28x
⇒ 2 : 3 : 4.
⇒ 14x : 21x : 28x
⇒ 2 : 3 : 4.
Most Upvoted Answer
Seats for Mathematics, Physics and Biology in a school are in the rati...
Let's assume initial seats for maths, physics and biology be 5x, 7x and 8x respectively
after increase:
maths: 5x + 40% of 5x = 5x + 2x =7x
physics: 7x + 50% of 7x = 7x + 3.5x = 10.5x
biology: 8x + 75% of 8x = 8x + 6x = 14x.
simplify by dividing each tern by 0.5x
New ratio is: 14:21:28 = 2:3:4
so answer is 2:3:4
after increase:
maths: 5x + 40% of 5x = 5x + 2x =7x
physics: 7x + 50% of 7x = 7x + 3.5x = 10.5x
biology: 8x + 75% of 8x = 8x + 6x = 14x.
simplify by dividing each tern by 0.5x
New ratio is: 14:21:28 = 2:3:4
so answer is 2:3:4
Free Test
FREE
| Start Free Test |
Community Answer
Seats for Mathematics, Physics and Biology in a school are in the rati...
Ratio of seats before increase: 5 : 7 : 8
Let's increase the seats as per the given proposal:
- Mathematics seats increased by 40%: 5 + (40/100) * 5 = 7
- Physics seats increased by 50%: 7 + (50/100) * 7 = 10.5 ≈ 11
- Biology seats increased by 75%: 8 + (75/100) * 8 = 14
New ratio of seats: 7 : 11 : 14
Now, we need to simplify this ratio. We can do this by dividing all the numbers by the smallest number in the ratio, which is 7.
- 7 : 11 : 14 (divide by 7)
- 1 : 1.57 : 2 (approximate to nearest whole numbers)
- 1 : 2 : 2
Therefore, the ratio of seats after the increase is 1 : 2 : 2, which is equivalent to 2 : 3 : 4 (multiply all numbers by 2).
Hence, the correct answer is option A) 2 : 3 : 4.
Let's increase the seats as per the given proposal:
- Mathematics seats increased by 40%: 5 + (40/100) * 5 = 7
- Physics seats increased by 50%: 7 + (50/100) * 7 = 10.5 ≈ 11
- Biology seats increased by 75%: 8 + (75/100) * 8 = 14
New ratio of seats: 7 : 11 : 14
Now, we need to simplify this ratio. We can do this by dividing all the numbers by the smallest number in the ratio, which is 7.
- 7 : 11 : 14 (divide by 7)
- 1 : 1.57 : 2 (approximate to nearest whole numbers)
- 1 : 2 : 2
Therefore, the ratio of seats after the increase is 1 : 2 : 2, which is equivalent to 2 : 3 : 4 (multiply all numbers by 2).
Hence, the correct answer is option A) 2 : 3 : 4.
Attention JEE Students!
To make sure you are not studying endlessly, EduRev has designed JEE study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in JEE.
|
Explore Courses for JEE exam
|
|
Similar JEE Doubts
Top Courses for JEEView all
Seats for Mathematics, Physics and Biology in a school are in the ratio 5 : 7 : 8. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the ratio afterincreased seats?a)2 : 3 : 4b)6 : 7 : 8c)6 : 8 : 9d)None of theseCorrect answer is option 'A'. Can you explain this answer?
Question Description
Seats for Mathematics, Physics and Biology in a school are in the ratio 5 : 7 : 8. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the ratio afterincreased seats?a)2 : 3 : 4b)6 : 7 : 8c)6 : 8 : 9d)None of theseCorrect answer is option 'A'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Seats for Mathematics, Physics and Biology in a school are in the ratio 5 : 7 : 8. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the ratio afterincreased seats?a)2 : 3 : 4b)6 : 7 : 8c)6 : 8 : 9d)None of theseCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Seats for Mathematics, Physics and Biology in a school are in the ratio 5 : 7 : 8. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the ratio afterincreased seats?a)2 : 3 : 4b)6 : 7 : 8c)6 : 8 : 9d)None of theseCorrect answer is option 'A'. Can you explain this answer?.
Seats for Mathematics, Physics and Biology in a school are in the ratio 5 : 7 : 8. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the ratio afterincreased seats?a)2 : 3 : 4b)6 : 7 : 8c)6 : 8 : 9d)None of theseCorrect answer is option 'A'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Seats for Mathematics, Physics and Biology in a school are in the ratio 5 : 7 : 8. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the ratio afterincreased seats?a)2 : 3 : 4b)6 : 7 : 8c)6 : 8 : 9d)None of theseCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Seats for Mathematics, Physics and Biology in a school are in the ratio 5 : 7 : 8. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the ratio afterincreased seats?a)2 : 3 : 4b)6 : 7 : 8c)6 : 8 : 9d)None of theseCorrect answer is option 'A'. Can you explain this answer?.
Solutions for Seats for Mathematics, Physics and Biology in a school are in the ratio 5 : 7 : 8. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the ratio afterincreased seats?a)2 : 3 : 4b)6 : 7 : 8c)6 : 8 : 9d)None of theseCorrect answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE.
Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
Here you can find the meaning of Seats for Mathematics, Physics and Biology in a school are in the ratio 5 : 7 : 8. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the ratio afterincreased seats?a)2 : 3 : 4b)6 : 7 : 8c)6 : 8 : 9d)None of theseCorrect answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Seats for Mathematics, Physics and Biology in a school are in the ratio 5 : 7 : 8. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the ratio afterincreased seats?a)2 : 3 : 4b)6 : 7 : 8c)6 : 8 : 9d)None of theseCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for Seats for Mathematics, Physics and Biology in a school are in the ratio 5 : 7 : 8. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the ratio afterincreased seats?a)2 : 3 : 4b)6 : 7 : 8c)6 : 8 : 9d)None of theseCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of Seats for Mathematics, Physics and Biology in a school are in the ratio 5 : 7 : 8. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the ratio afterincreased seats?a)2 : 3 : 4b)6 : 7 : 8c)6 : 8 : 9d)None of theseCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Seats for Mathematics, Physics and Biology in a school are in the ratio 5 : 7 : 8. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the ratio afterincreased seats?a)2 : 3 : 4b)6 : 7 : 8c)6 : 8 : 9d)None of theseCorrect answer is option 'A'. Can you explain this answer? tests, examples and also practice JEE tests.
|
|
Explore Courses for JEE exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up
within 7 days!
within 7 days!
Takes less than 10 seconds to signup