A number is decreased by 30\% , then increased by 27\% and then further increased by 20\% . What is the net increase/decrease percentage in the number - Quantitative Aptitude MCQ SSC Selection Post 2021 Matriculation Level 2026 | ExamTest.live

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A number is decreased by 30%, then increased by 27% and then further increased by 20% . What is the net increase/decrease percentage in the number (correct to the nearest integer)?

Solution & Step-by-step Explanation

Let the initial number be 100 .After a 30% decrease: Number = 100 \times (1 - \frac{30}{100}) = 70 After a 27% increase: Number = 70 \times (1 + \frac{27}{100}) = 70 \times 1.27 = 88.9 After a 20% increase: Number = 88.9 \times (1 + \frac{20}{100}) = 88.9 \times 1.2 = 106.68 The total net change is: Net Percentage Change = 106.68 - 100 = 6.68% increase Rounding to the nearest integer, we get a 7% increase.

Try it yourself before checking the explanation above.

A number is decreased by 30%, then increased by 27% and then further increased by 20% . What is the net increase/decrease percentage in the number (correct to the nearest integer)?

7% increase

5% decrease

4% increase

3% decrease

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