10% of the inhabitants of a village having died of cholera, a panic set in, during which 25% of the remaining… · ABC26GN2128
Subject: General Aptitude · Chapter: Percentage
10% of the inhabitants of a village having died of cholera, a panic set in, during which 25% of the remaining inhabitants left the village. The population is then reduced to 4050. Find the number of original inhabitants.
Answer
No answer key was printed for this question.
Explanation
Let the total number of original inhabitants be $x$. Then, $(100-25)\%$ of $(100-10)\%$ of $x=4050 \Leftrightarrow \left(\frac{75}{100}\times\frac{90}{100}\times x\right)=4050 \Leftrightarrow \frac{27}{40}x=4050 \Leftrightarrow x=\left(\frac{4050\times 40}{27}\right)=6000$. Number of original inhabitants $=6000$.
Explanation as extracted from the printed page; notation may be imperfect.