Question

# A sum of money lent out at simple interest amounts to $Rs720$ after $2$ years and to$Rs1020$ after a further period of $5$ years. What is the sum?

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Solution

## Simple interest for$2$ years $=$ $Rs.720.$Simple interest for $7$ years$=Rs.1020$Simple interest for$5$ years$=Rs.1020–Rs.720=Rs.300.$Simple interest for $2$years $=\left(\frac{300}{5}\right)×2=Rs.120$Principal $=720–120=Rs.600$Hence, the sum is $Rs.600$.

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