Target Exam

CUET

Subject

General Test

Chapter

Numerical Ability

Topic

Percentages

Question:

The tax on a commodity diminishes by 14% and its consumption increases by 10%. Find the effect on revenue.

Options:

Decreases by 9.5%

Decreases by 6.5%

Decreases by 5.4%

Decreases by 7.4%

Correct Answer:

Decreases by 5.4%

Explanation:

14% = \(\frac{7}{50}\)  & 10% = \(\frac{1}{10}\)

Ratio of                    Initial        New

Price                          50      :    43

Consumption              10      :    11

------------------------------------------------

Revenue                  500      :   473

{ Revenue = Income tax × Consumption }

Required percentage = \(\frac{500 - 473}{500}\) × 100

= \(\frac{27}{500}\) × 100

= 5.4%