Question

is the simple interest on a contain sum of money for 2 years is rupees 220 find the principal at the rate of the interest 4% per year​

Answer 1

Question :-

The simple interest on a certain sum of money for 2 years is Rs 220. Find the principal at the rate of 4% per year.

Answer :-

• The principal = Rs 2750.

Given :-

• Simple Interest = Rs 220.
• Time = 2 years.
• Rate of Interest = 4% per year.

To find :-

• The Principal.

Step-by-step explanation :-

• In this question, the simple interest, time and the rate of interest has been given to us. We have to find the principal. We can do this by using the formula required for finding the simple interest and make an equation using it. Then we can solve it to find our answer.

Calculations :-

We know that :-

$\boxed{\sf Simple \: Interest = \dfrac{P \times R \times T}{100}}$

Here,

• Simple Interest = Rs 220.
• Rate = 4% per year.
• Time = 2 years.

• Let the Principal be p.

Substituting the given values in this formula,

$\sf 220 = \dfrac{p \times 4 \times 2}{100}$

Multiplying 4 by 2,

$\sf 220 = \dfrac{p \times 8}{100}$

Multiplying p by 8,

$\sf 220 = \dfrac{8p}{100}$

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

$\sf220 \times 100= 8p$

Multiplying the numbers,

$\sf 22000 = 8p$

Transposing 8 from RHS to LHS, changing it's sign,

$\sf \dfrac{22000}{8} = p$

Dividing 22000 by 8,

$\underline{\boxed{\sf 2750 = p.}}$