If a number is first increased by 10% and then decreased by 10%, what happens to the original number?

Mathematics Mcqs for PPSC, FPSC, NTS, and Pakistan government job tests. Select an option below, then read the explanation.

PPSCFPSCNTSPakistan govt jobs
Subject
Mathematics Mcqsmathematics-mcqs
Published
2 Feb 2020
Last updated
28 May 2026

Browse all Mathematics Mcqs

Choose the correct answer

Explanation

Let the original number be x. After increasing by 10%, the number becomes 110% of x, which is (11x/10). Then, reducing this new value by 10% results in 90% of (11x/10), calculated as (99x/100). The difference between the original and final number is x - (99x/100) = x/100, which is a 1% decrease.

PakQuizHub — free MCQs and past papers for Pakistan government job tests. Content is for educational practice only.