Question

Find C.I on Rs 12600 for 2 years at 10%per annum compounded annually.​

Answer 1

Given:

• Principal, P = Rs 12600
• Time, t = 2years
• Rate, R = 10% (per annum)

Find:

• Compound Interest

Solution:

$\boxed{ \rm Amount = P{(1 + \dfrac{R}{100})}^{t} }$

where,

• P = Rs 12600
• R = 10%
• t = 2years

So,

$\dashrightarrow\rm Amount = P{(1 + \dfrac{R}{100})}^{t}$

$\dashrightarrow\rm Amount = 12600{(1 + \dfrac{10}{100})}^{2}$

$\dashrightarrow\rm Amount = 12600{( \dfrac{100 + 10}{100})}^{2}$

$\dashrightarrow\rm Amount = 12600{( \dfrac{110}{100})}^{2}$

$\dashrightarrow\rm Amount = 12600 \times \dfrac{12100}{10000}$

$\dashrightarrow\rm Amount = 126 \times 121$

$\dashrightarrow\rm Amount = Rs 15246$

we, know that

$\boxed{ \rm C.I. = A - P }$

where,

• A = Rs 15246
• P = Rs 12600

So,

$\large\dashrightarrow\rm C.I. = A - P$

$\large\dashrightarrow\rm C.I. = 15246 - 12600$

$\large\dashrightarrow\rm C.I. = Rs 2646$

$\therefore \pink{\rm C.I. = Rs 2646}$