Question

the ratio of the principal and the amount in 1 year is 8:9.the rate of simple interest per annum is..plz help me

Answer 1

↪ Dear User ↩


Question:↪ The ratio of the principal and the amount in 1 year is 8:9. Find the the rate of simple interest per annum is ?

Method of Solution:↩

Let the Ratio of the principal and amount be x

Then, Principal = 8x

Amount = 9x

•°•↪ We know that Formula of Interest = Principal - Amount

Interest = 9x - 8x ↪ x


Now, According to the Question's Statement!

Statement: Find the the rate of simple interest per annum is ?

$\implies{ \sf{ \red{Rate = \frac{100 \times si}{principal \times time}}}} \\ \\ \implies{ \sf{ \green{ \frac{100 \times \cancel{x}}{8 \cancel{x }\times 1}}}} \\ \\ \implies{ \sf{ \red{ \frac{\cancel{100}}{ \cancel{{8}}}}}} \\ \\ \\ \implies{ \sf{ \blue{12 \frac{1}{2} \%}}}$


$\mathsf{ \green{the \: rate \: of \: simple \: interest \: per \: annum \: is 12 \: \frac{1}{2}\% }}$

Answer 2

the ratio of the principal and the amount in 1 year is 8:9.the rate of simple interest per annum is ?

Given -

Let the ration between principal and amount = x

then,       Principal = 8x

              Amount = 9x

             Interest = 9x - 8x = x

Solution -

Formula for simple interest =  $\frac{principal * rate * time}{100}$

                      $Rate = \frac{100 * SI}{PRINCIPAL * TIME}$

                              $R = \frac{x * 100}{8x * 1}$

                         $R = \frac{25}{2}$

                           $R = 12\frac{1}{2}$ %

So , the simple interest is $12\frac{1}{2} %$ % .

What is simple interest?

Simple interest is based on the principal amount of a loan or the first deposit in a savings account.

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