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Mr.Ramesh gives 10% of some amount to his wife and 10% of the remaining to hospital expenses and again 10% of the remaining amount to charity. Then he has only Rs.7290 with him. What is the initial sum of money with that person?

  • a)
    Rs.8000

  • b)
    Rs.9000

  • c)
    Rs.10000

  • d)
    Rs.20000

  • e)
    Rs.17200

Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Mr.Ramesh gives 10% of some amount to his wife and 10% of the remainin...
Explanation:




  • Let the initial sum of money be x.



  • Ramesh gives 10% of x to his wife, which leaves him with 0.9x.



  • He then gives 10% of this remaining amount to hospital expenses, which leaves him with 0.9x * 0.9 = 0.81x.



  • Finally, he gives 10% of this remaining amount to charity, which leaves him with 0.81x * 0.9 = 0.729x.



  • It is given that he has Rs.7290 with him, so 0.729x = 7290.



  • Solving for x, we get x = 7290 / 0.729 = 10000.



Therefore, the initial sum of money with Ramesh was Rs.10000.
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Most Upvoted Answer
Mr.Ramesh gives 10% of some amount to his wife and 10% of the remainin...
Given:
- Mr. Ramesh gives 10% of some amount to his wife
- 10% of the remaining to hospital expenses
- 10% of the remaining amount to charity
- Mr. Ramesh has only Rs.7290 with him

To Find:
- Initial sum of money with Mr. Ramesh

Solution:

Let's assume the initial sum of money with Mr. Ramesh is 'X'.

According to the given condition,
- Mr. Ramesh gives 10% of X to his wife, which means he is left with 90% of X.
- Then he gives 10% of the remaining amount (90% of X) to hospital expenses, which means he is left with 81% of X.
- Finally, he gives 10% of the remaining amount (81% of X) to charity, which means he is left with 72.9% of X.

Therefore,

0.729X = 7290

X = 7290/0.729

X = Rs. 10000

Hence, the initial sum of money with Mr. Ramesh is Rs. 10000.

Therefore, the correct answer is option 'C'.
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Mr.Ramesh gives 10% of some amount to his wife and 10% of the remaining to hospital expenses and again 10% of the remaining amount to charity. Then he has only Rs.7290 with him. What is the initial sum of money with that person?a)Rs.8000b)Rs.9000c)Rs.10000d)Rs.20000e)Rs.17200Correct answer is option 'C'. Can you explain this answer?
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