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# Rihana took a loan of Rs. 1200 with simple interest for as many years as the rate of interest. If she paid Rs. 432 as interest at the end of the loan period. Find the time period she has taken to return the loan-1. 3.6 year2. 6 years3. 18 years4. Cannot be determined

Last updated date: 24th Mar 2023
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Hint: This question involves 3 terms principle (P), rate (R), time (T). one of three are available in the question. Simple interest is also provided, put the value in the formula of simple interest, equate it and then proceed with the calculations.

∴ S.I = $\dfrac{{P \times R \times T}}{{100}}$
$\Rightarrow 432 = \dfrac{{1200 \times R \times R}}{{100}}$
$\Rightarrow \dfrac{{432 \times 100}}{{1200}} = {R^2}$
$\Rightarrow {R^2} = \dfrac{{43200}}{{1200}}$
$\Rightarrow {R^2} = 36$
$\Rightarrow R = \sqrt {36}$
$\Rightarrow R = 6$