 Hello and welcome to the session. In this session we are going to discuss the following question and the question says that Given below are the entries in a savings bank account passbook. Calculate the interest for 6 months, February to July at 3% per annum on the minimum balance on or after the 10th day of each month. B slash F stands for brought forward from previous page of the passbook. We know that simple interest is equal to P into R into T upon 100 where P is equal to the principal, R is equal to the rate of interest and T is equal to time. With this key idea let us proceed with the solution. First we shall complete the given table. On 8th February the balance amount is $8500. On 18th February an amount of $4000 is withdrawn. So the balance amount is $8500 minus $4000 which is equal to $4500. So the next entry in the passbook is $4500 on 18th February. Now on 12th April an amount of $2238 is deposited. So the balance will be $4500 plus $2238 which is equal to $6,738. So the balance amount on April 12th becomes $6,738. On 15th June the amount withdrawn is $5,000. So now the balance amount becomes $6,738 minus $5,000 which is equal to $1,738. So our next entry in the passbook is $1,738 on June 15th. Now on July 8th the amount deposited is equal to $6,000. So the balance amount is $6,000 plus $1,738 which is equal to $7,738. So the next entry in the passbook is $7,738 on July 8th. This completes our table. So now we shall calculate the principle for one month and then the interest for six months. The balance amount on February 18th is $4,500. So the qualifying amount for the month of February will be $4,500. The next entry in the passbook is on April 12th and the balance amount on April 12th is $6,738. So for the month of March and April the balance amount remains $4,500. So the qualifying amount for the months of March and April is $4,500. The balance amount for the month of May is $6,738. So the qualifying amount for month of May is $6,738. The balance amount on June 15th is $1,738. So the qualifying amount for the month of June is $1,738. And on July 8th the balance amount is $7,738. So the qualifying amount for the month of July is $7,738. So now the total principle for one month will be $29,714. The principle for one month is equal to $29,714. Time is equal to one month which is equal to 1 by 12 years. And the rate of interest given is equal to 3% per annum. Therefore as we know interest is equal to P into R into T upon 100. Therefore this is equal to 29,714 into 3 into 1 upon 100 into 12. So now this is equal to 3 for the 12, 2 to the 4, 2 times 14,857 is equal to 29,714. So this is equal to 14,857 upon 200. This is equal to $74.29. Hence the interest for required period of time is equal to $74.29 which is our answer. This completes our session. Hope you enjoyed the session.