Question

find the principal which will amount to rs 4500 in 2yrs at the rate of 4%p.a. compounded anually​

Answer 1

Answer:

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Step-by-step explanation:

4160.5 amounts to 4500 in 2 years at 4% compound Interest

Answer 2

Answer:

Given :-

• An amount of Rs 4500 in 2 years at the rate of 4% p.a. compounded annually.

To Find :-

• What is the principal.

Formula Used :-

$\clubsuit$ Amount formula when the interest is compounded annually :

$\bigstar \: \: \: \: \sf\boxed{\bold{\pink{A =\: P\bigg(1 + \dfrac{r}{100}\bigg)^n}}}\: \: \: \: \bigstar$

where,

• A = Amount
• P = Principal
• r = Rate of Interest
• n = Time Period

Solution :-

Given :

• Amount = Rs 4500
• Time Period = 2 years
• Rate of Interest = 4% p.a.

According to the question by using the formula we get,

$\implies \sf 4500 =\: P\bigg(1 + \dfrac{\cancel{4}}{\cancel{100}}\bigg)^2$

$\implies \sf 4500 =\: P\bigg(1 + \dfrac{1}{25}\bigg)^2$

$\implies \sf 4500 =\: P\bigg(\dfrac{25 + 1}{25}\bigg)^2$

$\implies \sf 4500 =\: P\bigg(\dfrac{26}{25}\bigg)^2$

$\implies \sf 4500 =\: P\bigg(\dfrac{26}{25} \times \dfrac{26}{25}\bigg)$

$\implies \sf 4500 =\: P\bigg(\dfrac{676}{625}\bigg)$

$\implies \sf 4500 =\: P \times \dfrac{676}{625}$

$\implies \sf 4500 \times \dfrac{625}{676} =\: P$

$\implies \sf \dfrac{4500 \times 625}{676} =\: P$

$\implies \sf \dfrac{2812500}{676} =\: P$

$\implies \sf 4160.50 =\: P$

$\implies \sf\bold{\red{P =\: Rs\: 4160.50}}$

$\therefore$ The principal is Rs 4160.50 .