gomezyonathan93
02.01.2020 •
Mathematics
Afamily paid 12 percent of its annual after tax income on food last year. this amount was equal to 10 percent of its annual before tax income last year. which of the following is closest to the percent of the family's annual before-tax income that was paid for tares last year? a. 8% b. 12% c. 17% d. 20%e. 25%
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Ответ:
Option c. 17%
Step-by-step explanation:
Data provided in the question:
Amount paid on food last year = 12% of Annual after tax income
Amount paid on food for the current year = 10% of Annual before tax income
Now,
Let the after tax income be 'x'
and tax be 'y'
Therefore,
Income before tax = x + y
Amount paid on food = 12% of x
According to the question
12% of x = 10% of (x + y)
or
0.12x = 0.10 (x + y)
or
1.2x - x = y
0.2x = y
or
x = 5y
Thus,
percent of the family's annual before-tax income that was paid for tares last year
= [Tax ÷ Income before tax] × 100%
= [ y ÷ ( x + y )] × 100%
= [ y ÷ ( 5y + y )] × 100%
or
= 0.167 × 100% ≈ 17%
Hence,
Option c. 17%
Ответ: