A number is decreased by 24\% and then increased by 18\% . What is the net increase or decrease per cent in the number? - Quantitative Aptitude MCQ Competitive Exam 2026 | ExamTest.live

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A number is decreased by 24% and then increased by 18% . What is the net increase or decrease per cent in the number?

Solution & Step-by-step Explanation

Using the successive percentage change formula: Net % Change = x + y + \frac{x y}{100} Here, x = - 24 (decrease) and y = + 18 (increase). Net % Change = - 24 + 18 + \frac{( - 24 ) \times 18}{100} Net % Change = - 6 - \frac{432}{100} Net % Change = - 6 - 4.32 = - 10.32% The negative sign indicates a decrease. Therefore, there is a 10.32% decrease.

Try it yourself before checking the explanation above.

A number is decreased by 24% and then increased by 18% . What is the net increase or decrease per cent in the number?

17.51% decrease

10.32% decrease

11.14% increase

18.97% increase

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