Question
What will be the ratio of simple interest earned by certain amount at the same rate of interest for 5 years and that for 15 years?
What will be the ratio of simple interest earned by certain amount at the same rate of interest for 5 years and that for 15 years?
Answer: Option B
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Answer : Option B
Explanation :
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Solution 1
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Let Principal = P
Rate of Interest = R%
$MF#%\text{Required Ratio = }\dfrac{\left(\dfrac{\text{PR} \times 5}{100}\right)}{\left(\dfrac{\text{PR}\times 15}{100}\right)}= \dfrac{5}{15}=\dfrac{1}{3}=1 : 3$MF#%
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Solution 2
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$MF#%\text{Simple Interest = }\dfrac{\text{PRT}}{100}$MF#%
Here Principal(P) and Rate of Interest (R) are constants
Hence, Simple Interest ∠T
$MF#%\text{Required Ratio = }\dfrac{\text{Simple Interest for 5 years}}{\text{Simple Interest for 15 years}} = \dfrac{\text{T}_1}{\text{T}_2}=\dfrac{5}{15}=\dfrac{1}{3}=1 : 3$MF#%
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