ABC26GN4050 · Simple Interest
Subject: General Aptitude · Chapter: Simple Interest · Exam: · Marks: · Difficulty:
A sum of money trebles itself in 15 years 6 months. In how many years would it double itself ?
(a)6 years 3 months
(b)7 years 9 months
(c)8 years 3 months
(d)9 years 6 months
Answer
Explanation
Let $\operatorname{sum}=₹ x$. Then, S.I. $=₹ 2 x$, Time $=15 \frac{1}{2}$ years $=\frac{31}{2}$ years.$$\therefore \quad \text { Rate }=\left(\frac{100 \times 2 x}{x \times \frac{31}{2}}\right) \%=\frac{400}{31} \% .$$ Now, sum $=₹ x$, S.I. $=₹ x$, Rate $=\frac{400}{31} \%$. $\therefore \quad$ Time $=\frac{100 \times x}{x \times \frac{400}{31}}=\frac{31}{4}$ years $=7$ years 9 months.
Explanation as extracted from the printed page; notation may be imperfect.
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