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Amounts deposited by two friends Harpreet and Gagan are in the ratio 7 : 9. Total amount deposited is Rs. 72,000. After some time, Harpreet withdraws Rs. 7500. Find the money withdrawn by Gagan, so that the new ratio of their deposits may become 4 : 5.
  • a)
    Rs. 10,500
  • b)
    Rs. 12,500
  • c)
    Rs. 13,500
  • d)
    Rs. 14,000
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Amounts deposited by two friends Harpreet and Gagan are in the ratio 7...
Amount deposited by Harpreet and Gagan = Rs. 72,000
Amounts are in the ratio 7 : 9.
Let common ratio = x
Money deposited by Harpreet = 7x
Money deposited by Gagan = 9x
Now, 7x + 9x = Rs. 72,000
16x = Rs. 72,000
x = 
Rs. 4500

Money deposited by Harpreet = 4500 × 7 = 
Rs. 31,500

Money deposited by 
Gagan = 4500 × 9 = 
Rs. 40,500

Money left with Harpreet after withdrawal of Rs. 7500 = 31,500 - 7500 = 
Rs. 
24,000
Ratio of amounts of Harpreet and Gagan is 4 : 5.
So, amount of Gagan = 5/4 
×
 24,000 = 
Rs. 30,000

Amount withdrawn by Gagan = 40,500 - 30,000 = 
Rs. 
10,500
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Most Upvoted Answer
Amounts deposited by two friends Harpreet and Gagan are in the ratio 7...
Given:
Ratio of amounts deposited by Harpreet and Gagan = 7:9
Total amount deposited = Rs. 72,000

Let the amounts deposited by Harpreet and Gagan be 7x and 9x respectively.
Total amount deposited = 7x + 9x = 16x
16x = 72,000
x = 4,500

Amount deposited by Harpreet = 7x = 7 * 4,500 = Rs. 31,500
Amount deposited by Gagan = 9x = 9 * 4,500 = Rs. 40,500

After Harpreet withdraws Rs. 7500, his balance becomes Rs. 24,000.
New ratio of their deposits = 4:5
Let the amount withdrawn by Gagan be y.
Then, Gagan's balance = Rs. (40,500 - y)
So, we have:
(31,500 / 24,000) = 4/5
(40,500 - y) / (24,000 + 7500) = 5/4
Solving these equations, we get:
y = Rs. 10,500

Therefore, the money withdrawn by Gagan is Rs. 10,500.
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Amounts deposited by two friends Harpreet and Gagan are in the ratio 7 : 9. Total amount deposited is Rs. 72,000. After some time, Harpreet withdraws Rs. 7500. Find the money withdrawn by Gagan, so that the new ratio of their deposits may become 4 : 5.a)Rs. 10,500b)Rs. 12,500c)Rs. 13,500d)Rs. 14,000Correct answer is option 'A'. Can you explain this answer?
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