Subject: General Aptitude · Chapter: Problems on Numbers · Exam: 2010 · Marks: · Difficulty:
A number whose fifth part increased by 4 is equal to its fourth part diminished by 10, is
(a)240
(b)260
(c)270
(d)280
Answer
Answer (as printed):
Explanation
Let the number be $x$. Then, $\frac{x}{5}+4=\frac{x}{4}-10 \Leftrightarrow \frac{x}{4}-\frac{x}{5}=14$ $$\Leftrightarrow \frac{x}{20}=14 \Leftrightarrow x=14 \times 20=280 .$$
Explanation as extracted from the printed page; notation may be imperfect.