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Mr. William and Mr. John deposited a total amount of $72,000 in a common account in the ratio 7 : 9. Later, Mr. William withdrew $7,500 and Mr. John also withdrew some money. Find the money withdrawn by Mr. John such that the new ratio of their deposits is 4 : 5.
  • a)
    $9,500
  • b)
    $10,000
  • c)
    $10,500
  • d)
    $12,000
  • e)
    $12,500
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Mr. William and Mr. John deposited a total amount of $72,000 in a com...
To solve this problem, we need to first find the initial deposits of Mr. William and Mr. John, and then determine the amount of money Mr. John withdrew to achieve the desired ratio.

Let's assume that Mr. William deposited $7x and Mr. John deposited $9x initially, where x is a common factor.

So, the total initial deposit is $7x + $9x = $16x, which is equal to $72,000.

Therefore, $16x = $72,000

Dividing both sides by 16, we get:

x = $72,000 / 16 = $4,500

So, Mr. William initially deposited $7x = $7 * $4,500 = $31,500

And Mr. John initially deposited $9x = $9 * $4,500 = $40,500

Now, Mr. William withdraws $7,500 from his account. His remaining deposit is:

$31,500 - $7,500 = $24,000

Let's assume that Mr. John withdraws $y from his account. His remaining deposit is:

$40,500 - $y

According to the question, the new ratio of their deposits is 4:5. This means that:

$\frac{$24,000}{($40,500 - $y)} = \frac{4}{5}$

Cross-multiplying, we get:

5 * $24,000 = 4 * ($40,500 - $y)

$120,000 = $162,000 - 4y

Rearranging the equation, we get:

4y = $162,000 - $120,000

4y = $42,000

Dividing both sides by 4, we get:

y = $10,500

Therefore, Mr. John withdrew $10,500 from his account.

Hence, the correct answer is option C) $10,500.
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Community Answer
Mr. William and Mr. John deposited a total amount of $72,000 in a com...
Amount deposited by Mr. William and Mr. John = $72,000
Total deposit is in the ratio = 7 : 9
Let the money deposited by Mr. William = $7x
Let the money deposited by Mr. John = $9x
Now, 7x + 9x = 72,000
16x = 72,000
x = 4,500
Money deposited by Mr. William = 7 × $4500 = $31,500
Money deposited by Mr. John = 9 × $4500 = $ 40,500
Money withdrawn by Mr. William = $7,500
Mr. William's money left in the account = $(31,500 - 7,500) = $24,000
Let money withdrawn by Mr. John = $y
New ratio = 4 : 5
5(24,000) = 4(40,500 - y)
120,000 = 162,000 - 4y
4y = 162,000 - 120,000
4y = 42,000
Money withdrawn by Mr. John = $10,500
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Mr. William and Mr. John deposited a total amount of $72,000 in a common account in the ratio 7 : 9. Later, Mr. William withdrew $7,500 and Mr. John also withdrew some money. Find the money withdrawn by Mr. John such that the new ratio of their deposits is 4 : 5.a)$9,500b)$10,000c)$10,500d)$12,000e)$12,500Correct answer is option 'C'. Can you explain this answer?
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