Question

A person borrows an amount of Rs. 10000@20% for 4 years ,estimate A and Ci​

Answer 1

Answer:

A = 20736, Ci = 10736

Step-by-step explanation:

A = 10000 * 120 * 120 * 120 *120 / 100 / 100 / 100 / 100 = 20736 ; C = 20736-10000 = 10736

Answer 2

Question :

A person borrows an amount of Rs. 10000 , 20% for 4 years ,estimate A and Compound Interest

To find :

The amount and Compound Interest

Formula Used :

$\mapsto \underline{ \boxed{{\sf \small A = P(1 + \frac{r}{100}) ^{n} }}}$

Here,

• A → Amount
• P → Principal
• r → rate of interest
• n → time

$\mapsto \underline {\boxed{ \sf \small C.I. = A - P}}$

Here,

• C.I. → Compound Interest
• A → Amount
• P → Principal

GivEn Data :

• Principal → ₹ 10000
• n → 4 years
• r → 20 % p.a. compounded annually

Solution :

$\sf\small\leadsto A = P(1 + \frac{r}{100} )^{n}$

By inserting the values we get

$\sf\small\leadsto A = 10000 {(1 + \frac{4}{100}) }^{20}$

$\sf\small\leadsto A = 10000 {(1 + \frac{ \cancel{8}}{ \cancel{100}}) }^{2}$

$\sf\small\leadsto A = 10000( \frac{25}{25} + \frac{2}{25} )^{20}$

$\sf\small\leadsto A = 10000 {( \frac{27}{25} })^{2}$

$\sf\small\leadsto A = 10000 \times \frac{729}{625}$

$\sf\small\leadsto A = \cancel{10000} \times \frac{729}{ \cancel{625}}$

$\sf\small\leadsto A = 16 \times 729$

$\sf\small\leadsto A = 11664$

So the amount is ₹ 11664

Now to get the Compound Interest

C.I. = A - P

C.I. = ₹ 11664 - ₹ 10000

C.I. = ₹ 1664

Hence, the Compound Interest is ₹ 1664