Quant Exam > Quant Questions > A bag contains 25p, 50p and 1Re coins in the ...
Start Learning for Free
A bag contains 25p, 50p and 1Re coins in the ratio of 2 : 4 : 5 respectively. If the total money in the bag is Rs 75, find the number of 50p coins in the bag.
- a)45
- b)50
- c)25
- d)40
- e)None of these
Correct answer is option 'D'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
A bag contains 25p, 50p and 1Re coins in the ratio of 2 : 4 : 5 respec...
D) 40
Explanation: 2x, 4x, 5x (25/100)*2x + (50/100)*4x + 1*5x = 75 x = 10, so 50 p coins = 4x = 40
Explanation: 2x, 4x, 5x (25/100)*2x + (50/100)*4x + 1*5x = 75 x = 10, so 50 p coins = 4x = 40
Most Upvoted Answer
A bag contains 25p, 50p and 1Re coins in the ratio of 2 : 4 : 5 respec...
Given:
Ratio of 25p, 50p and 1 Re coins = 2 : 4 : 5
Total money in the bag = Rs 75
To find:
Number of 50p coins in the bag
Solution:
Let the common ratio of the three coins be x.
Then, the value of each coin in terms of x is:
25p coin = 0.25x
50p coin = 0.50x
1 Re coin = x
The sum of the ratios is 2 + 4 + 5 = 11. So, the total number of parts is 11x.
Let the number of 50p coins be y.
Then, the number of 25p coins = 2x * 11x = 22x^2
And the number of 1 Re coins = 5x * 11x = 55x^2
The total amount of money in the bag is given as Rs 75.
So, we can form the following equation:
0.25x * 22x^2 + 0.50x * y + x * 55x^2 = 75
Simplifying the equation, we get:
11x^3 + yx = 600
We need to find the value of y, which represents the number of 50p coins.
To do that, we can substitute the given values in the above equation and check which option satisfies it.
Option D: y = 40
Substituting y = 40 in the equation, we get:
11x^3 + 40x = 600
Solving this equation, we get x = 2 and y = 40.
Therefore, the number of 50p coins in the bag is 40.
Ratio of 25p, 50p and 1 Re coins = 2 : 4 : 5
Total money in the bag = Rs 75
To find:
Number of 50p coins in the bag
Solution:
Let the common ratio of the three coins be x.
Then, the value of each coin in terms of x is:
25p coin = 0.25x
50p coin = 0.50x
1 Re coin = x
The sum of the ratios is 2 + 4 + 5 = 11. So, the total number of parts is 11x.
Let the number of 50p coins be y.
Then, the number of 25p coins = 2x * 11x = 22x^2
And the number of 1 Re coins = 5x * 11x = 55x^2
The total amount of money in the bag is given as Rs 75.
So, we can form the following equation:
0.25x * 22x^2 + 0.50x * y + x * 55x^2 = 75
Simplifying the equation, we get:
11x^3 + yx = 600
We need to find the value of y, which represents the number of 50p coins.
To do that, we can substitute the given values in the above equation and check which option satisfies it.
Option D: y = 40
Substituting y = 40 in the equation, we get:
11x^3 + 40x = 600
Solving this equation, we get x = 2 and y = 40.
Therefore, the number of 50p coins in the bag is 40.
Free Test
FREE
| Start Free Test |
Community Answer
A bag contains 25p, 50p and 1Re coins in the ratio of 2 : 4 : 5 respec...
D) 40
Explanation: 2x, 4x, 5x (25/100)*2x + (50/100)*4x + 1*5x = 75 x = 10, so 50 p coins = 4x = 40
Explanation: 2x, 4x, 5x (25/100)*2x + (50/100)*4x + 1*5x = 75 x = 10, so 50 p coins = 4x = 40
|
Explore Courses for Quant exam
|
|
Similar Quant Doubts
A bag contains 25p, 50p and 1Re coins in the ratio of 2 : 4 : 5 respectively. If the total money in the bag is Rs 75, find the number of 50p coins in the bag.a)45b)50c)25d)40e)None of theseCorrect answer is option 'D'. Can you explain this answer?
Question Description
A bag contains 25p, 50p and 1Re coins in the ratio of 2 : 4 : 5 respectively. If the total money in the bag is Rs 75, find the number of 50p coins in the bag.a)45b)50c)25d)40e)None of theseCorrect answer is option 'D'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A bag contains 25p, 50p and 1Re coins in the ratio of 2 : 4 : 5 respectively. If the total money in the bag is Rs 75, find the number of 50p coins in the bag.a)45b)50c)25d)40e)None of theseCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A bag contains 25p, 50p and 1Re coins in the ratio of 2 : 4 : 5 respectively. If the total money in the bag is Rs 75, find the number of 50p coins in the bag.a)45b)50c)25d)40e)None of theseCorrect answer is option 'D'. Can you explain this answer?.
A bag contains 25p, 50p and 1Re coins in the ratio of 2 : 4 : 5 respectively. If the total money in the bag is Rs 75, find the number of 50p coins in the bag.a)45b)50c)25d)40e)None of theseCorrect answer is option 'D'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A bag contains 25p, 50p and 1Re coins in the ratio of 2 : 4 : 5 respectively. If the total money in the bag is Rs 75, find the number of 50p coins in the bag.a)45b)50c)25d)40e)None of theseCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A bag contains 25p, 50p and 1Re coins in the ratio of 2 : 4 : 5 respectively. If the total money in the bag is Rs 75, find the number of 50p coins in the bag.a)45b)50c)25d)40e)None of theseCorrect answer is option 'D'. Can you explain this answer?.
Solutions for A bag contains 25p, 50p and 1Re coins in the ratio of 2 : 4 : 5 respectively. If the total money in the bag is Rs 75, find the number of 50p coins in the bag.a)45b)50c)25d)40e)None of theseCorrect answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Quant.
Download more important topics, notes, lectures and mock test series for Quant Exam by signing up for free.
Here you can find the meaning of A bag contains 25p, 50p and 1Re coins in the ratio of 2 : 4 : 5 respectively. If the total money in the bag is Rs 75, find the number of 50p coins in the bag.a)45b)50c)25d)40e)None of theseCorrect answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A bag contains 25p, 50p and 1Re coins in the ratio of 2 : 4 : 5 respectively. If the total money in the bag is Rs 75, find the number of 50p coins in the bag.a)45b)50c)25d)40e)None of theseCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for A bag contains 25p, 50p and 1Re coins in the ratio of 2 : 4 : 5 respectively. If the total money in the bag is Rs 75, find the number of 50p coins in the bag.a)45b)50c)25d)40e)None of theseCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of A bag contains 25p, 50p and 1Re coins in the ratio of 2 : 4 : 5 respectively. If the total money in the bag is Rs 75, find the number of 50p coins in the bag.a)45b)50c)25d)40e)None of theseCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A bag contains 25p, 50p and 1Re coins in the ratio of 2 : 4 : 5 respectively. If the total money in the bag is Rs 75, find the number of 50p coins in the bag.a)45b)50c)25d)40e)None of theseCorrect answer is option 'D'. Can you explain this answer? tests, examples and also practice Quant tests.
|
|
Explore Courses for Quant exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup