Question

A person paid rs.2000 interest for a year on rs.25000. find the rate of interest


please tell with method it's argent​

Answer 1

Answer:

₹500 is the correct answer .

Answer 2

Answer :-

• The rate of interest is 8% per annum.

Given :-

• A person paid Rs 2000 interest for a year on Rs 25000.

To find :-

• The rate of interest.

Step-by-step explanation :-

• Here, Rs 2000 is the interest, Rs 25000 is the principal and 1 year is the time. We have to find the rate of interest.

We know that :-

$\underline{ \boxed{\sf SI = \dfrac{Principal \times Rate \times Time}{100}}}$

Here,

• Principal = Rs 25000.
• Time = 1 year.
• Simple interest = Rs 2000.

• Let the rate of interest be r.

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$\underline{ \underline{ \mathfrak{Substituting \: given \: values \: in \: formula,}}}$

$\rm2000 = \dfrac{25000 \times r \times 1}{100}$

Multiplying 25000 with 1 first,

$\rm2000 = \dfrac{25000 \times r}{100}$

Multiplying 25000 with r,

$\rm2000 = \dfrac{25000r}{100}$

Transposing 100 from RHS to LHS, changing it's sign,

$\rm2000 \times 100 = 25000r$

Multiplying 2000 with 100,

$\rm200000 = 25000r$

Transposing 25000 from RHS to LHS, changing it's sign,

$\rm\dfrac{200000}{25000} = r$

Dividing 200000 by 25000,

$\rm\overline{ \boxed{ \rm8\% = r}}$

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• Hence, the rate of interest is 8% per annum.