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4 questions · self-marked practice — reveal the answer and mark yourself.

Question 21 Mark
Simple interest on Rs. x for x years is Rs. x. Then, the rate of interest is x % per annum.
Answer
False.

Solution:

$\text{S.I.}=\frac{\text{P}\times\text{R}\times\text{T}}{100}$

$\Rightarrow\text{x}=\frac{\text{x}\times\text{R}\times\text{x}}{100}$

$\Rightarrow\text{R}=\frac{100\times\text{x}}{\text{x}\times\text{x}}$

$\Rightarrow\text{R}=\frac{100}{\text{x}}\%$

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Question 31 Mark
Simple interest on Rs. 1000 at 5% per annum for 73 days is Rs. 10.
Answer
True.

Solution:

P = Rs. 1000

R = 5%

T = 73 days

$=\frac{73}{365}\text{ days}$

$\text{S.I.}=\frac{\text{P}\times\text{R}\times\text{T}}{100}$

$=\frac{1000\times5\times73}{100\times365}$

$=\text{Rs. }10$

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Question 41 Mark
A sum doubles itself at simple interest at 10% per annum in 10 years.
Answer
True.

Solution:

Let the sum be Rs. x

$\text{S.I.}=\frac{\text{P}\times\text{R}\times\text{T}}{100}$

$\text{S.I.}=\frac{\text{x}\times10\times10}{100}$

$\text{S.I.}=\text{Rs. x}$

Amount = S.I. + P

= x + x

= Rs. 2x

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