If a number is added to two-fifths of itself, the value so obtained is 455. What is the number? · ABC26GN1651

Subject: General Aptitude · Chapter: Problems on Numbers · Exam: 2010 · Marks: · Difficulty:

If a number is added to two-fifths of itself, the value so obtained is 455. What is the number?

(a)325

(b)350

(c)400

(d)420

(e)None of these

Answer

Answer (as printed):

Explanation

Let the number be $x$. Then, $x+\frac{2}{5} x=455 \Leftrightarrow \frac{7}{5} x=455 \Leftrightarrow x=\left(\frac{455 \times 5}{7}\right)=325$.

Explanation as extracted from the printed page; notation may be imperfect.