Math, asked by anandkumar131996, 8 months ago

34. The salary of a person is increased by 4800 and
the rate of tax is decreased by 2% from 12% to 10%.
tax as before. If in both the cases, the standard tax
deduction is fixed at 20% of the total income, find
The effect is such that he is now paying the
the increased salary?
same​

Answers

Answered by JackelineCasarez
0

28,800 is the increased salary.

Step-by-step explanation:

Let the initial salary be x,

Standard deduction = 20%

Taxable income = x * (100 - 20)/100

= (x * 80)/100

= 4x/5

Tax on the income = 4x/5 * 12/100

= 48x /500

Given that,

Amount by which the salary is increased = 4800

So,

The increased salary = x + 4800

Now,

Taxable income after the increase becomes

= (x + 4800) * 80/100  

= (x + 4800) * 4/5

Tax payable after the increase = (x + 4800) * 4/5 * 10/100

= (x + 4800) * 4/50

A.T.Q.

Both the taxes are equal. So,

48x /500  = (x + 4800) * 4/50

⇒ 48x = (x + 4800) * 40

⇒ 48x - 40x = 192000

⇒ 8x = 192000

∵ x = 24000

Thus, the increased salary = x + 4800

= 24,000 + 4800

= 28,800

Hence, 28,800 is the increased salary.

Learn more: Find the rate of tax

brainly.in/question/7501345

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