ITEM 1

Two friends, Sarah and Moses, started a poultry project to which they contributed Shs. 14000,000 and shs. 6000,000 respectively. They agreed to share the profits in the ratio of their contributions and the project started with 2000 birds. After selling all the birds, they made a profit of one million shillings five hundred thousand shillings. They re-invested the profits in the project and the number of birds increased to 2500. However, Moses was not sure of the amount he re-invested as well as the percentage increase in the number of birds.

On 1^st March 2024, they bought feeds and also balanced their books of accounts. On that very day, they had a meeting in which they agreed to buy feeds after every 7 days and balance their books of accounts after every 15 days. However Sarah wondered if there would be another date in the future on which they would buy feeds and balance their books of accounts on the same day.

Tasks

1. a) How much of the profits did Moses re-invest in the business?
2. b) What was the percentage increase in the number of birds?
3. c) On what date in the future would they buy the feeds and also balance their books of accounts the same day?