A page from Richa's pass book is given below. Answer the...

A page from Richa's pass book is given below. Answer the following questions by finding the missing entries. She closes her account on 30 th June 2007 . $$ \begin{array}{|ccccc} \hline \text { Date } & \text { Particulars } & \text { Amount With drawn (Rs) } & \text { Amount deposited (Rs) } & \text { Balance (Rs) } \\ \hline 05.01 .07 & \text { By Cash } & & 500.00 & 500.00 \\ 23.01 .07 & \text { By Cash } & & 6000.00 & 6500.00 \\ 08.02 .07 & \text { By Cash } & & \text { (missing entry) } & 8000.00 \\ 13.02 .07 & \text { To self } & \text { (missing entry) } & & 5000.00 \\ 18.02 .07 & \text { By cash } & & 2000.00 & \text { (missing entry) } \\ 09.03 .07 & \text { By Cash } & & 5000.00 & 12000.00 \\ 15.03 .07 & \text { To self } & \text { Missing entry } & & 9000.00 \\ 11.04 .07 & \text { To self } & \text { Missing entry } & & 5000.00 \\ 05.05 .07 & \text { By Cash } & & \text { Missing entry } & 10050.00 \\ \hline \end{array} $$ If the bank pays $8 \%$ per annum from $01.01 .07$ to $30.04 .07$ and $6 \%$ per annum from $01.05 .07$ to $30.06 .07$, then find the total interest received by Richa. (1) Rs $230.50$ (2) $\operatorname{Rs} 247$ (3) $\operatorname{Rs} 196.50$ (4) Rs 188

A page from Richa's pass book is given below. Answer the following questions by finding the missing entries. She closes her account on 30 th June 2007 .
$$
\begin{array}{|ccccc}
\hline \text { Date } & \text { Particulars } & \text { Amount With drawn (Rs) } & \text { Amount deposited (Rs) } & \text { Balance (Rs) } \\
\hline 05.01 .07 & \text { By Cash } & & 500.00 & 500.00 \\
23.01 .07 & \text { By Cash } & & 6000.00 & 6500.00 \\
08.02 .07 & \text { By Cash } & & \text { (missing entry) } & 8000.00 \\
13.02 .07 & \text { To self } & \text { (missing entry) } & & 5000.00 \\
18.02 .07 & \text { By cash } & & 2000.00 & \text { (missing entry) } \\
09.03 .07 & \text { By Cash } & & 5000.00 & 12000.00 \\
15.03 .07 & \text { To self } & \text { Missing entry } & & 9000.00 \\
11.04 .07 & \text { To self } & \text { Missing entry } & & 5000.00 \\
05.05 .07 & \text { By Cash } & & \text { Missing entry } & 10050.00 \\
\hline
\end{array}
$$
If the bank pays $8 \%$ per annum from $01.01 .07$ to $30.04 .07$ and $6 \%$ per annum from $01.05 .07$ to $30.06 .07$, then find the total interest received by Richa.
(1) Rs $230.50$
(2) $\operatorname{Rs} 247$
(3) $\operatorname{Rs} 196.50$
(4) Rs 188

Key Concepts

Pro-rated Simple Interest Computation

Simple interest is calculated for a specific time period by applying the annual interest rate on a per-time period basis, such as monthly or daily. Pro-rating the interest involves adjusting the annual rate to reflect the exact fraction of the year for which interest is applicable. This is essential when dealing with periods that do not span a full year or when different rates apply over different intervals.

Bank Ledger Reconciliation

This concept involves systematically verifying and balancing a bank's passbook or ledger, where all financial transactions such as deposits, withdrawals, and the resulting balance are recorded. It ensures that the running balance is consistent with the known transactions, and it is crucial in identifying any discrepancies or missing entries that need to be deduced or corrected.

Determining Missing Entries in Financial Transactions

In many bank ledger problems, some entries may be missing due to recording errors or intentional omissions to create challenges. This concept refers to the process of using the available data (such as known deposits, withdrawals, and ending balances) to infer the missing numbers by setting up equations or balances that must reconcile.

Time Segmentation in Interest Calculation

Interest on bank accounts is often calculated based on different time segments if the interest rate or the balance varies over time. This concept involves breaking the overall period into smaller intervals where each segment may have a distinct interest rate or balance behavior, and then calculating the interest separately for each segment before summing them up.

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