Question

A business's revenue exceeds its expenses by $2,000 per month. However, its fixed expenses just increased by $3,500 per month. If this continues and the business has $18,000 in cash, in how many months will it run out of cash?

a) 12
b) 15
c) 20
d) 24

Answer 1

a) 12

Step-by-step explanation:

If the revenue exceeds the expenses by $2,000 per month this means that they are in profit $2,000 every month. Now the expenses increased by $3,500 so we need to subtract the $2,000 from this to calculate by how much expenses are exceeding profit.

$3,500 - $2,000 = $1,500

Now we can see that they need to pay $1,500 in expenses every month. Since they have $18,000 in cash we can divide this by 1,500 to calculate how many months they will be able to pay the expenses before they run out of cash.

18,000 / 1,500 = 12 months