Question

What principal will amount to Rs. 3735 in 6 years at the rate of 11% simple interest per annum?​

Answer 1

let the principal be X

si = (X × 6 × 11)100 = 66x/100

amount = X + 66x/100 = 166x/100

according to the question, 166x/100 = 3735

X = (3735×100)166 = Rs 2250

Answer 2

Answer:

Given :-

• A amount of Rs 3735 in 6 years at the rate of 11% simple interest per annum.

Find Out :-

• Principal (P) ?

Formula Required :-

$\large{\red{\bold{\underline{SI =\: \dfrac{P \times R \times T}{100}}}}}$

Solution :-

Let, the principal be x

Given in the question :-

• Amount = Rs 3735
• R = 11%
• T = 6

By substituting the formula we get,

=> SI = $\dfrac{x \times 11 \times 6}{100}$

=> SI = $\dfrac{66x}{100}$

Now, we know that,

✓ Principal + SI = Amount

Then,

=> x + $\dfrac{66x}{100}$ = 3735

=> $\dfrac{166x}{100}$ = 3735

=> 166x = 373500

=> x = $\dfrac{373500}{166}$

=> x = Rs 2250

$\therefore$ The principal is Rs 2250.