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.
This question is part of UPSC exam. View all Quant courses
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'.