Akech deposited sh. 900000 in a Bank which gives an interest rate of 12.5% per annum. How much interest did she get at the end of 8 months?

To calculate the interest earned at the end of 8 months, we first need to convert the annual interest rate to a monthly rate.

Annual interest rate = 12.5%
Monthly interest rate = 12.5% / 12 months = 1.04%

Next, we calculate the interest earned on the deposit after 8 months:

Interest = Principal x Rate x Time
Interest = 900000 x 0.125 x (8/12)
Interest = 900000 x 0.125 x 0.6667
Interest = 900000 x 0.08334
Interest = 7500

Therefore, Akech earned sh. 7500 as interest at the end of 8 months.

Step 1: Calculate the annual interest:

Interest = Principal x Interest rate x Time

Interest = 900,000 x 0.125 x 1 (since 1 year = 12 months)
Interest = 112,500

Step 2: Calculate the interest for 8 months:

Interest for 8 months = (8/12) x Annual interest
Interest for 8 months = (8/12) x 112,500
Interest for 8 months = 75,000

Therefore, Akech got an interest of sh. 75,000 at the end of 8 months.