1.FIND the bank discount and proceeds on the following loans

i) RM4000 FOR 3 MONTHS at 10 1/2 percent

ii) RM4215 FROM 10 june to 5 august of the same year at 10 percent

To find the bank discount and proceeds on the given loans, we need to use the formula for calculating bank discount and proceeds.

Bank Discount Formula:
Bank Discount = Principal * Rate * Time
Proceeds = Principal - Bank Discount

Now, let's solve each loan individually:

i) RM4000 for 3 months at 10 1/2 percent:

Step 1: Convert the percentage to a decimal.
10 1/2 percent = 10.5/100 = 0.105

Step 2: Calculate the bank discount.
Bank Discount = RM4000 * 0.105 * (3/12) (since the time is given in months)
Bank Discount = RM4000 * 0.105 * 0.25
Bank Discount = RM105

Step 3: Calculate the proceeds.
Proceeds = RM4000 - RM105
Proceeds = RM3895

Therefore, the bank discount is RM105, and the proceeds are RM3895 for the loan of RM4000 for 3 months at 10 1/2 percent.

ii) RM4215 from 10 June to 5 August of the same year at 10 percent:

Step 1: Calculate the time in days.
10 June to 5 August = 2 months and 25 days = (2 * 30) + 25 = 85 days

Step 2: Convert the percentage to a decimal.
10 percent = 10/100 = 0.10

Step 3: Calculate the bank discount.
Bank Discount = RM4215 * 0.10 * (85/365) (since the time is given in days)
Bank Discount = RM4215 * 0.10 * 0.2329
Bank Discount = RM97.71 (rounded to the nearest cent)

Step 4: Calculate the proceeds.
Proceeds = RM4215 - RM97.71
Proceeds = RM4117.29 (rounded to the nearest cent)

Therefore, the bank discount is RM97.71, and the proceeds are RM4117.29 for the loan of RM4215 from 10 June to 5 August at 10 percent.

To find the bank discount and proceeds for the given loans, we will use the formula:

Bank Discount = Principal x Rate x Time
Proceeds = Principal - Bank Discount

i) Loan: RM4000 for 3 months at 10 1/2 percent

First, convert the interest rate to decimal form: 10 1/2 percent = 0.105

Bank Discount = RM4000 x 0.105 x (3/12) = RM105
Proceeds = RM4000 - RM105 = RM3895

Therefore, the bank discount is RM105 and the proceeds are RM3895.

ii) Loan: RM4215 from 10 June to 5 August of the same year at 10 percent

To calculate the time, we need to find the difference between the given dates. Let's assume each month has 30 days.

Time = (5 August - 10 June) / 30 = 56/30 = 1.87 months

Bank Discount = RM4215 x 0.10 x (1.87/12) = RM65.43
Proceeds = RM4215 - RM65.43 = RM4149.57

Therefore, the bank discount is RM65.43, and the proceeds are RM4149.57.