The difference between the value of a number increased by 25\% and the value of the original number decreased by 30\% is 22. What is the original number? (SNAP, 2010)
Answer
Answer (as printed):
Explanation
Let the number be $x$. Then, $125\%$ of $x-70\%$ of $x=22 \Rightarrow 55\%$ of $x=22 \Rightarrow \frac{55}{100}x=22 \Rightarrow x=\left(\frac{22\times 100}{55}\right)=40$. Hence, required number = 40.
Explanation as extracted from the printed page; notation may be imperfect.