2020 · Q29
The number of items in a booklet is N. In the first year there is an increase of x% in this number and in the subsequent year there is a decrease of x%. At the end of the two years, what will be the number of items in the booklet?
Elementary MathematicsPercentages
- ALess than N
- BEqual to N
- CMore than N
- DIt depends on the value of N
Explanation
After the rise and fall the count is N(1+x/100)(1-x/100) = N(1-x^2/10000), which is less than N. Hence option (A). For instance with x = 10, N first rises to 1.1N then falls to 0.99N - always below N.