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What will be the ratio of simple interest earned by certain amount at the same rate of interest for 6 years and that for 9 years?
Answer & Solution
Correct Answer:
Option
C
Let the principal be P and rate of interest be R%.
Therefore Required ratio
$$\eqalign{ & = \frac{{ {\frac{{P \times R \times 6}}{{100}}} }}{{ {\frac{{P \times R \times 9}}{{100}}} }} \cr & = \frac{{6PR}}{{6PR}} \cr & = \frac{6}{9} \cr & = 2:3 \cr} $$
Therefore Required ratio
$$\eqalign{ & = \frac{{ {\frac{{P \times R \times 6}}{{100}}} }}{{ {\frac{{P \times R \times 9}}{{100}}} }} \cr & = \frac{{6PR}}{{6PR}} \cr & = \frac{6}{9} \cr & = 2:3 \cr} $$
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