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Question from Vishal, a student:

Total amount paid annually $\$444$ for 2014 which is inclusive for tax.
tax rate for first six month is 7% then it is changed to 15% for second six months.
calculate the total basic amount paid before tax.

the basic amount on which tax paid in first and second six month is same.

Hi,

Suppose the basic amount for the first six months was x dollars. The tax rate was 7% so the amount paid for the first six months, including tax was $x + 0.07x = 1.07x$ dollars. What was the amount paid for the second six months, including tax? The total of these two amounts is $\$444.$ Solve for $x.$

Penny

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