Question

What sum lent at 10% per annum
simple interest
would produce 1200 as interest in 4 years.​

Answer 1

• GIVEN:-

Rate = 10% per annum

Simple Interest = Rs. 1200

Time = 4 years

• To Find:-

Principal.

• SOLUTION:-

We know that the formula of Simple interest is:-

$\large\Longrightarrow{\sf{\huge{\frac{p\times\:r\times\:t}{100}}}}$

According to the question,

$\large\Longrightarrow{\sf{Simple\: Interest=\huge\frac{p\times\:r\times\:t}{100}}}$

Putting the values,

$\large\Longrightarrow{\sf{1200=\huge\frac{p\times\:10\times\:4}{100}}}$

$\large\Longrightarrow{\sf{1200\times\:100=40p}}$

$\large\Longrightarrow{\sf{120000=40p}}$

$\large\Longrightarrow{\sf{\huge\frac{120000}{40}\large=\:p}}$

$\large\therefore\boxed{\sf{p= Rs. \: 3000}}$

• Now let's verify it:-

Putting the value of principal,

$\large\Longrightarrow{\sf{Simple\: Interest=\huge\frac{p\times\:r\times\:t}{100}}}$

$\large\Longrightarrow{\sf{1200=\huge\frac{3000\times\:10\times\:4}{100}}}$

$\large\Longrightarrow{\sf{1200=\huge\frac{120000}{100}}}$

$\large\Longrightarrow{\sf{1200=1200}}$

$\large\therefore\boxed{\sf{LHS=RHS}}$

$\huge\blue\therefore\boxed{\sf{\blue{Principal= Rs. \: 3000}}}$

Answer 2

hope it's helpful ...

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