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The amounts deposited by Mr. Herald and Mr. George are in the ratio 9:13, respectively. The total amount deposited is Rs. 132000. After some time, Mr. Herald withdraws Rs. 18000. Find the money withdrawn by Mr. George so that the new ratio of their deposits becomes 4 : 7.
  • a)
    Rs. 12000        
  • b)
    Rs. 15000        
  • c)
    Rs. 17500       
  • d)
    Rs. 13500
Correct answer is option 'B'. Can you explain this answer?
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The amounts deposited by Mr. Herald and Mr. George are in the ratio 9:...
Total amount deposited by Mr. Herald and Mr. George = Rs. 132000
Ratio of the amounts deposited = 9:13
Let the common ratio be x. 
Money deposited by Mr. Herald = 9x 
Money deposited by Mr. George = 13x 
Now, 9x + 13x = Rs. 132,000
22x = Rs. 132,000 ; x = 6000
Money deposited by Mr. Herald = 9 x 6000 = Rs. 54,000
Money deposited by Mr. George = 13 x 6000 = Rs. 78,000
Money withdrawn by Mr. Herald = Rs. 18000
Money left in the account of Mr. Herald = Rs. (54000 - 18000) = Rs. 36,000
Let the money withdrawn by Mr. George be Rs. y. 
New ratio = 4 : 7 
Now,
36000 / 78000 - y = 4 / 7
y = 15000
Money withdrawn by Mr. George = Rs. 15,000
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Most Upvoted Answer
The amounts deposited by Mr. Herald and Mr. George are in the ratio 9:...
Given:
Ratio of deposits by Mr. Herald and Mr. George = 9:13
Total amount deposited = Rs. 132000

Let's assume the amounts deposited by Mr. Herald and Mr. George are 9x and 13x respectively.

Total amount deposited = 9x + 13x = 22x
Given, 22x = 132000
Dividing both sides by 22, we get x = 6000

So, the amount deposited by Mr. Herald = 9x = 9 * 6000 = Rs. 54000
And the amount deposited by Mr. George = 13x = 13 * 6000 = Rs. 78000

Now, let's say Mr. Herald withdraws Rs. 18000 from his account.
His new balance = Rs. 54000 - Rs. 18000 = Rs. 36000

Let's assume Mr. George withdraws some amount y from his account.
His new balance = Rs. 78000 - y

Given that the new ratio of their deposits becomes 4:7.

Therefore, we can set up the following equation:
(36000) / (78000 - y) = 4/7

Cross-multiplying, we get:
4(78000 - y) = 7(36000)
312000 - 4y = 252000
-4y = -60000
y = 15000

Therefore, Mr. George withdraws Rs. 15000 from his account.
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The amounts deposited by Mr. Herald and Mr. George are in the ratio 9:13, respectively. The total amount deposited is Rs. 132000. After some time, Mr. Herald withdraws Rs. 18000. Find the money withdrawn by Mr. George so that the new ratio of their deposits becomes 4 : 7.a)Rs. 12000 b)Rs. 15000 c)Rs. 17500 d)Rs. 13500Correct answer is option 'B'. Can you explain this answer?
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The amounts deposited by Mr. Herald and Mr. George are in the ratio 9:13, respectively. The total amount deposited is Rs. 132000. After some time, Mr. Herald withdraws Rs. 18000. Find the money withdrawn by Mr. George so that the new ratio of their deposits becomes 4 : 7.a)Rs. 12000 b)Rs. 15000 c)Rs. 17500 d)Rs. 13500Correct answer is option 'B'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about The amounts deposited by Mr. Herald and Mr. George are in the ratio 9:13, respectively. The total amount deposited is Rs. 132000. After some time, Mr. Herald withdraws Rs. 18000. Find the money withdrawn by Mr. George so that the new ratio of their deposits becomes 4 : 7.a)Rs. 12000 b)Rs. 15000 c)Rs. 17500 d)Rs. 13500Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The amounts deposited by Mr. Herald and Mr. George are in the ratio 9:13, respectively. The total amount deposited is Rs. 132000. After some time, Mr. Herald withdraws Rs. 18000. Find the money withdrawn by Mr. George so that the new ratio of their deposits becomes 4 : 7.a)Rs. 12000 b)Rs. 15000 c)Rs. 17500 d)Rs. 13500Correct answer is option 'B'. Can you explain this answer?.
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