ABC26GN3996 · Simple Interest
Subject: General Aptitude · Chapter: Simple Interest · Exam: · Marks: · Difficulty:
A sum of ₹ 1550 is lent out into two parts, one at 8\% and another one at 6\%. If the total annual income is ₹ 106, find the money lent at each rate.
Answer
Explanation
Let the sum lent at 8\% be ₹ $x$ and that at 6\% be ₹ $(1550-x)$. $$\begin{aligned} & \therefore \quad\left[\frac{x \times 8 \times 1}{100}\right]+\left[\frac{(1550-x) \times 6 \times 1}{100}\right]=106 \\ & \Leftrightarrow \quad 8 x+9300-6 x=10600 \Leftrightarrow 2 x=1300 \Leftrightarrow \quad x=650 . \\ & \therefore \quad \text { Money lent at } 8 \%=₹ 650 . \text { Money lent at } 6 \%=₹(1550-650)=₹ 900 . \end{aligned}$$
Explanation as extracted from the printed page; notation may be imperfect.
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