What will be the ratio of simple interest earned by a certain amount at the same rate of interest for 2 years and for 4 years?

1:2

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2:1

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3:2

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4:3

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Solution

The correct options are
B 2:1
D 4:3
Simple interest is given by

I = $\frac{P R T}{100}$

where I is the simple interest, P is the principal, R is the rate of interest per annum and T is the time(number of years).

Interest for 2 years will be $I_{1}$ = $\frac{P R (2)}{100}$

Interest for 4 years will be $I_{2}$ = $\frac{P R (4)}{100}$

Ratio of interest will be $\frac{I_{1}}{I_{2}}$ = $\frac{2}{4}$ = $\frac{1}{2}$

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