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?
Question
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?
Solution
Let's denote the initial sum of money that Mr. Ramesh had as X.
Step 1: Mr. Ramesh gives 10% of X to his wife. So, he is left with 90% of X. We can express this as 0.9X.
Step 2: He then gives 10% of the remaining amount (0.9X) to hospital expenses. So, he is left with 90% of 0.9X, which is 0.81X.
Step 3: He then gives 10% of the remaining amount (0.81X) to charity. So, he is left with 90% of 0.81X, which is 0.729X.
According to the problem, 0.729X equals Rs.7290.
So, we can set up the equation 0.729X = 7290.
To solve for X, we divide both sides of the equation by 0.729.
X = 7290 / 0.729 = Rs.10000.
So, the initial sum of money that Mr. Ramesh had was Rs.10000.
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