Question

The interest on Rs. at the rate of 6% for 5 years is
Rs. 30​

Answer 1

Answer :-

• The amount of money is Rs 100.

Given :-

• The interest on a certain amount of rupees at the rate of 6% for 5 years is Rs 30.

To find :-

• The principal.

Step-by-step explanation :-

• Here, the interest is Rs 30, the rate is 6% and the time is 5 years. We have to find the principal.

We know that :-

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

Here,

• Interest = Rs 30.
• Rate = 6% per annum.
• Time = 5 years.

• Let the principal be p.

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Substituting the given values in this formula,

$\rm30 = \dfrac{p \times 6 \times 5}{100}$

Multiplying 6 with 5,

$\rm30 = \dfrac{p \times 30}{100}$

Multiplying 30 with p,

$\rm30 = \dfrac{30p}{100}$

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

$\rm30 \times 100 = 30p$

Multiplying 30 with 100,

$\rm3000 = 30p$

Transposing 30 from RHS to LHS, changing it's sign,

$\rm \dfrac{3000}{30} = p$

Dividing 3000 by 30,

$\overline{\boxed{\rm Rs \: 100 = p}}$

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• Hence, the principal is Rs 100.