Question Bank › General Aptitude › Simple Interest › ABC26GN4066ABC26GN4066 · Simple Interest Subject: General Aptitude · Chapter: Simple Interest · Exam: · Marks: · Difficulty:
If the simple interest on a certain sum for 15 months at $7 \frac{1}{2} \%$ per annum exceeds the simple interest on the same sum for 8 months at $12 \frac{1}{2} \%$ per annum by ₹ 32.50, then the sum (in ₹) is :
(a) ₹ 3000
(b) ₹ 3060
(c) ₹ 3120
(d) ₹ 3250
Answer Explanation Let the sum be ₹ $x$. Then, $\left(x \times \frac{15}{2} \times \frac{5}{4} \times \frac{1}{100}\right)-\left(x \times \frac{25}{2} \times \frac{2}{3} \times \frac{1}{100}\right)=32.50$ $$\begin{aligned} & \Leftrightarrow \quad \frac{75 x}{8}-\frac{25 x}{3}=3250 \Leftrightarrow 25 x=(3250 \times 24) \\ & \Leftrightarrow \quad x=\left(\frac{3250 \times 24}{25}\right)=3120 . \end{aligned}$$
Explanation as extracted from the printed page; notation may be imperfect.
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