A person withdrew ₹4,560 from his bank account on 4 th of a month and deposited ₹2,567 on 20 th of the same month. If at the end of the month, balance is ₹3,125, then money (in ₹) at the start of the month in his account was :
Correct Answer :
5,118
Solution :
The correct answer is Option 2: 5,118.
Step-by-Step Explanation:
Let the initial balance at the start of the month be ₹ .
1. Account transactions during the month:
- Money withdrawn on the 4th of the month = ₹ 4,560
Since money was withdrawn, it reduces the total balance in the account.
- Money deposited on the 20th of the month = ₹ 2,567
Since money was deposited, it adds to the total balance in the account.
2. Setting up the equation:
The balance at the end of the month is given as ₹ 3,125.
Using the transaction details, we can write the equation for the final balance as:
3. Solving for :
First, simplify the net change in the balance:
Substitute this back into the equation:
Now, add 1,993 to both sides to solve for :
Therefore, the money at the start of the month in his account was ₹ 5,118.
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