Discussion
Ravi invested certain amount for two rates of simple interests at 6% p.a. and 7% p.a. What is the ratio of Ravi's investments if the interests from those investments are equal?
Answer: D
Let the two investments be \( P_{1} \) at 6% and \( P_{2} \) at 7%, over the same period \( n \). Equal interest means
\[ \frac{P_{1} \times 6 \times n}{100} = \frac{P_{2} \times 7 \times n}{100} \]
\[ 6P_{1} = 7P_{2} \quad\Longrightarrow\quad \frac{P_{1}}{P_{2}} = \frac{7}{6} \]
The investments are in the inverse ratio of the rates: the lower rate needs the larger sum to yield the same return. The time cancels, so it need not be known.
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