We can start by calculating the interest earned by the man over 8 months.
First, we need to convert the annual interest rate of 15% to a monthly rate by dividing it by 12:
15% / 12 = 1.25%
Next, we can use the formula for simple interest to calculate the interest earned:
Interest = Principal x Rate x Time
where:
Principal = sh. 600,000 (the amount deposited)
Rate = 1.25% (the monthly interest rate)
Time = 8/12 (8 months is 2/3 of a year)
Plugging in the values, we get:
Interest = 600,000 x 1.25% x 8/12
Interest = 5,000
Therefore, the man will earn sh. 5,000 in interest over 8 months.
To find the total amount in his account after 8 months, we simply add the interest earned to the initial deposit:
Total amount = Principal + Interest
Total amount = 600,000 + 5,000
Total amount = sh. 605,000
Therefore, the amount on the man's account after 8 months will be sh. 605,000.