Math, asked by clashwithash161, 1 year ago

A man's income is increased by 1200 at the same time the tax rate is reduced from 12% to 10% he now pays the same amount of tax as before. what is his increased income if20% of his incomeis exempted from tax in both case

Answers

Answered by ramnroyh807
4

Let us consider previous salary as a 'X' then

0.12*X=0.10*(X+1200)

0.02X=120

X=120/.02=6000

X=6000

His previous salaray was 6000

A MAN'S SALARY IS INCREASED BY 1200 ,TAX IS DECREASED FROM 12% TO 10% BUT HE PAYS SAME AMOUNT..

Answered by TooFree
4

Given:

The person's income is increased by 1200.

His tax rate is reduced from 12% to 10%.

He pays the amount of tax as before.

His 20% of income is exempted from tax.

To Find:

His increased income.

Define x:

Let x be his income after the 20% exemption, before the increase

Before increase:

tax = 12% of x

tax = 0.12x

After increase:

Income = x + 1200

Tax = 10% of (x + 1200)

Tax = 0.1(x + 1200)

Solve x:

0.12x = 0.1(x + 1200)

0.12x = 0.1x + 120

0.02x = 120

x = 6000

Find his income before 20% exemption:

80% = 6000

100% = 6000/80 x 100

100% = 7500

Find his increased income:

Increased income = 7500 + 1200

Increased income = 8700

Answer: His increased income is 8700

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