Question
A software company had 'p' lines of code in their
codebase in 2019. It increased by 30% in 2020 and then by another 20% in 2021. In 2022, the lines of code were reduced by 50%. If in 2019, the percentage of bugs in the code was 15% and in 2022 it is 25%, then what is the percentage change in the number of bugs during this period?Solution
ATQ, Let the lines of code in 2019 be 10000. In 2020, lines of code = 1.30×10000=13000. In 2021, lines of code = 1.20×13000=15600. In 2022, the lines of code reduced by 50% = 0.50×15600=7800. Bugs in 2019 = 0.15×10000=1500. Bugs in 2022 = 0.25×7800=1950. Percentage change in bugs = {(1950−1500)/1500}×100% = 30%. Therefore, the number of bugs increased by 30% from 2019 to 2022.
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