Final answer:
The difference between Company B's income and Company A's income is found using the ratio 5:6 and the fact that Company B's income is 160% of its expenditure. By solving the proportion for Company A's income, we find that the difference between the incomes is 26.67 units.
Step-by-step explanation:
The question asks for the difference between the incomes of two companies where the income of Company A is to the income of Company B in the ratio of 5:6, and the income of Company B is 160% of its expenditure. This means that for every 5 units of income that Company A has, Company B has 6 units. Since Company B's income is 160% of its expenditure, we can consider B's expenditure as 100 and its income as 160 since 160% of 100 is 160.
To find the difference between the incomes of Company A and Company B, we first need to find the equivalent income of Company A that corresponds to Company B's income of 160. We use the ratio 5:6 for this purpose. For every 6 parts of income for Company B, Company A has 5 parts. So, if Company B has 160, we calculate Company A's income by setting up the proportion 5/6 = x/160, where x is Company A's income.
Solving for x, we get x = (5/6) * 160 = 133.33. Therefore, the income of Company A is 133.33 units. The difference between the incomes of Company B and Company A is 160 - 133.33 = 26.67 units.