In: Finance
A firm has a net profits after taxes of $75,600, a 30% tax rate, a 10% interest rate, and a 10 times interest earned ratio. Based on the given information, the firm earnings before interest and taxes equals?
Select one:
a. $100,000
b. $110,000
c. $130,000
d. $120,000
$ | ||||||||
1) | Calculation of Earnings Before Tax (EBT) | |||||||
Earnings After Tax | 75600 | |||||||
Add: Tax @ 30% | 32400 | |||||||
75600 *30/70 | ||||||||
Earnings Before Tax | 108000 | |||||||
(EBT) | ||||||||
2) | Calculation of Earnings Before Interest andTax (EBIT) | |||||||
Interest earned ratio | = | EBIT/Interest expenses | ||||||
EBIT | = | EBT + Interest expenses | ||||||
Let Interest expense be x | ||||||||
Interest earned ratio | = | 10 times | ||||||
Interest earned ratio | = | EBIT/Interest expenses | ||||||
Interest earned ratio | = | EBT + Interest expenses/Interest expenses | ||||||
10 | = | 108000 + X | ||||||
X | ||||||||
10 X | = | 108000 + X | ||||||
10 X - X | = | 108000 | ||||||
9 X | = | 108000 | ||||||
X | = | 108000/9 | ||||||
X | = | 12000 | ||||||
Interest Expense | = | 1200 | ||||||
EBT + Interest Expense | = | 108000+12000 | ||||||
EBIT | = | 120000 | ||||||
Earnings Before Interest and Tax is | 120000 | |||||||
Option d) $ 120000 is correct | ||||||||