A sum of money , lent out at simple interest doubles in 4 years. Find the rate of interest.

20 %

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40 %

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25 %

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12.5 %

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Solution

The correct option is C
25 %

Given that the sum doubles itself in 4 years.

If the principal is P , then the amount after 4 years = 2P

$∴$ Interest earned in 4 years = 2P - P = P

P = $\frac{P \times 4 \times r}{100}$

1 = $\frac{r}{25}$

r = 25 %

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A sum of money , lent out at simple interest doubles in 4 years. Find the rate of interest.

The correct option is C 25 % Given that the sum doubles itself in 4 years. If the principal is P , then the amount after 4 years = 2P ∴ Interest earned in 4 years = 2P - P = P P = P×4×r100 1 = r25 r = 25 %

The correct option is C
25 %

Given that the sum doubles itself in 4 years.

If the principal is P , then the amount after 4 years = 2P

$∴$ Interest earned in 4 years = 2P - P = P

P = $\frac{P \times 4 \times r}{100}$

1 = $\frac{r}{25}$

r = 25 %