Before being simplified, the instructions for computing income tax in country R were to add 2 percent of one's annual income to the average (arithmetic mean) of 100 units of country R's currency and 1 percent of one's annual income. Which of the following represents the simplified formula for computing the income tax in country R's currency, for a person in that country whose annual income is I?a) 50 + (I/200)b) 50 + (3I/100)c) 50 + (I/40)d) 100 + (I/50)e) 100 + (3I/100)

Respuesta :

Answer:

correct option is c. 50 + [tex]\frac{I}{40}[/tex]

Explanation:

we know that

2 percent of  annual income =  0.02 I   .....................1

and

1 percent of  annual income =  0.01 I      ........................2

and

so we take average i.e arithmetic mean of 1 percent of  annual income and 100 units of country  currency

so

average =  [tex]\frac{100 + 0.01 *I}{2}[/tex]     .......................3

so tax is sum of equation 1 and 3

tax = 0.02 I + [tex]\frac{100 + 0.01 *I}{2}[/tex]

tax = 50 + [tex]\frac{I}{40}[/tex]

so correct option is c. 50 + [tex]\frac{I}{40}[/tex]