Question Details

Ravi’s salary is increased by 20%. On the increased salary, the tax rate is 10% higher. The percentage increase in tax liability is:

Options

A

32%

B

22%

C

20%

D

40%

Show Answer

Correct Answer :

Option B

22%

Solution :

The correct option is 22%.

To understand why this is the correct answer, we look at the interpretation of the problem where the tax rate is increased only on the incremental (increased) portion of the salary. Let us break down the steps using this logical derivation:
First, we assume convenient initial values to simplify the percentage calculations.

Let Ravi's initial salary be:
Initial Salary = 100
Let the initial tax rate on this base salary be:
Initial Tax Rate = 10 %

Therefore, the initial tax liability is:
Tax initial = 100 × 10 % = 10

Now, we find the increment in Ravi's salary. Since the salary is increased by 20%, the increased portion (increment) is:
Increment = 20 % of 100 = 20

The problem states that on this increased salary portion, the tax rate is 10% higher than the initial tax rate.
Thus, the tax rate applied to the incremental salary is:
Tax Rate increment = 10 % × ( 1 + 10 % ) = 11 %

Now, we calculate the tax liability on the incremental salary of 20:
Tax increment = 20 × 11 % = 2.2

Next, we sum the initial tax liability and the tax on the increment to get the new total tax liability:
Tax new = Tax initial + Tax increment = 10 + 2.2 = 12.2

Finally, we calculate the percentage increase in tax liability:
Percentage Increase = Tax new - Tax initial Tax initial × 100
Substituting the calculated values:
Percentage Increase = 12.2 - 10 10 × 100 = 2.2 10 × 100 = 22 %

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