Class 12 Exam  >  Class 12 Questions  >  A, B and C have the money in ratio 3: 4: 5, i... Start Learning for Free
A, B and C have the money in ratio 3: 4: 5, if B gives 400 to C the ratio of amount A, B and C have becomes 5: 6: 9. Find the initial total amounts that A, B and C have?
  • a)
    12,000
  • b)
    11,000
  • c)
    13,500
  • d)
    10,000
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
A, B and C have the money in ratio 3: 4: 5, if B gives 400 to C the ra...
Given: Ratio of money A:B:C = 3:4:5
Let the initial amount of A, B and C be 3x, 4x, and 5x respectively.
Also given that after B gives 400 to C, the ratio becomes 5:6:9.
Let the amount C receives from B be 400, then the new amount of C becomes 5x+400, and the new amount of B becomes 4x-400.

Now, we can form an equation using the given ratio:
3x : 4x-400 : 5x+400 = 5 : 6 : 9

Cross-multiplying, we get:
15x : 24x-2400 : 25x+2000 = 5 : 6 : 9

Simplifying, we get:
15x = 5k
24x-2400 = 6k
25x+2000 = 9k

Solving the above equations, we get:
x = 2000

Therefore, the initial amounts of A, B, and C are:
3x = 3*2000 = 6000
4x = 4*2000 = 8000
5x = 5*2000 = 10000

The total initial amount of A, B, and C is:
6000+8000+10000 = 24000

Hence, the correct answer is option A: 12,000.
Free Test
Community Answer
A, B and C have the money in ratio 3: 4: 5, if B gives 400 to C the ra...
Initially A, B and C have 3x, 4x and 5x respectively.
B gives 400 to C now ratio is 5: 6: 9
So, 4x – 400 = 6y and 5x + 400 = 9y
x = (5/3) y and y = 600.
So, final amount of A, B and C are 3000, 3600, 5400
Initial amount = 3000, 4000, 5000. Therefore, total sum = (3000 + 4000 + 5000) =12000
Explore Courses for Class 12 exam

Top Courses for Class 12

Question Description
A, B and C have the money in ratio 3: 4: 5, if B gives 400 to C the ratio of amount A, B and C have becomes 5: 6: 9. Find the initial total amounts that A, B and C have?a)12,000b)11,000c)13,500d)10,000Correct answer is option 'A'. Can you explain this answer? for Class 12 2025 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about A, B and C have the money in ratio 3: 4: 5, if B gives 400 to C the ratio of amount A, B and C have becomes 5: 6: 9. Find the initial total amounts that A, B and C have?a)12,000b)11,000c)13,500d)10,000Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 12 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A, B and C have the money in ratio 3: 4: 5, if B gives 400 to C the ratio of amount A, B and C have becomes 5: 6: 9. Find the initial total amounts that A, B and C have?a)12,000b)11,000c)13,500d)10,000Correct answer is option 'A'. Can you explain this answer?.
Solutions for A, B and C have the money in ratio 3: 4: 5, if B gives 400 to C the ratio of amount A, B and C have becomes 5: 6: 9. Find the initial total amounts that A, B and C have?a)12,000b)11,000c)13,500d)10,000Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 12. Download more important topics, notes, lectures and mock test series for Class 12 Exam by signing up for free.
Here you can find the meaning of A, B and C have the money in ratio 3: 4: 5, if B gives 400 to C the ratio of amount A, B and C have becomes 5: 6: 9. Find the initial total amounts that A, B and C have?a)12,000b)11,000c)13,500d)10,000Correct answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of A, B and C have the money in ratio 3: 4: 5, if B gives 400 to C the ratio of amount A, B and C have becomes 5: 6: 9. Find the initial total amounts that A, B and C have?a)12,000b)11,000c)13,500d)10,000Correct answer is option 'A'. Can you explain this answer?, a detailed solution for A, B and C have the money in ratio 3: 4: 5, if B gives 400 to C the ratio of amount A, B and C have becomes 5: 6: 9. Find the initial total amounts that A, B and C have?a)12,000b)11,000c)13,500d)10,000Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of A, B and C have the money in ratio 3: 4: 5, if B gives 400 to C the ratio of amount A, B and C have becomes 5: 6: 9. Find the initial total amounts that A, B and C have?a)12,000b)11,000c)13,500d)10,000Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice A, B and C have the money in ratio 3: 4: 5, if B gives 400 to C the ratio of amount A, B and C have becomes 5: 6: 9. Find the initial total amounts that A, B and C have?a)12,000b)11,000c)13,500d)10,000Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice Class 12 tests.
Explore Courses for Class 12 exam

Top Courses for Class 12

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev