ABC26GN3987 · Simple Interest
Subject: General Aptitude · Chapter: Simple Interest · Exam: · Marks: · Difficulty:
A certain sum of money amounts to ₹ 1008 in 2 years and to ₹ 1164 in $3 \frac{1}{2}$ years. Find the sum and the rate of interest.
Answer
Explanation
S.I. for $1 \frac{1}{2}$ years $=₹(1164-1008)=₹ 156$. $$\begin{aligned} & \text { S.I. for } 2 \text { years }=₹\left(156 \times \frac{2}{3} \times 2\right)=₹ 208 . \\ & \therefore \quad \text { Principal }=₹(1008-208)=₹ 800 . \end{aligned}$$ Now, $P=₹ 800, T=2$ years and S.I. $=₹ 208$ $$\therefore \quad \text { Rate }=\left(\frac{100 \times 208}{800 \times 2}\right) \%=13 \% .$$
Explanation as extracted from the printed page; notation may be imperfect.
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