Question

Find the principal if the compound interest at the rate of 10% per annum for 2 years is Rs.1250.
please help me I want full explaination​

Answer 1

Answer:

Amount = P× ( 1 + R/100) ^T

1250 = P × ( 1 + 10 / 100 ) ^ 2

1250 = P × ( 100 + 10 / 100 ) ^ 2

1250 = P × ( 110 /100 ) ^2

1250 =. P × ( 11 /10) ^ 2

1250 × 10 / 11 × 10 / 11 = P

125000 = P

Answer 2

Answer :

›»› The required principal is Rs. 125000.

Step-by-step explanation :

Given :

• Amount = Rs. 1250.
• Rate interest = 10% per annum.
• Time = 2 years.

To Find :

• Principal = ?

Formula required :

To find the principal we use the formula of amount.

Formula of amount to calculate the principal is given by,

→ A = P(1 + R/100)ⁿ.

Here,

• A is the Amount.
• P is the Principal.
• R is the Rate interest.
• n is the Time.

Solution :

As we are given with the amount, rate interest, and time and we need to find the principal then we know the required formula, that is,

→ A = P(1 + R/100)ⁿ.

By using the formula of amount to calculate the principal and substituting all the given values in the formula, we get :

→ 1250 = P(1 + 10/100)²

→ 1250 = P(100 + 10/100)²

→ 1250 = P(110/100)²

→ 1250 = P(11/10)²

→ 1250 = P * 11²/10²

→ 1250 = P * 121/10²

→ 1250 = P * 121/100

→ 1250 * 100 = P * 121

→ 125000 = P * 121

→ 125000 = 121P

→ P = 125000/121

→ P = 1033.05.

Hence, the required principal is Rs. 1033.05.