Question

Rs 6,250 Principe Rate = 12% yearly Time 2years

find out compound interest ​

Answer 1

Answer:

answer = compound interest = 1500 and total amount = 7750

Step-by-step explanation:

compound interest : P×R×T/100

: 6250×12×2/100

: 1500

total amount : P + compound interest

: 6250 + 1500

: 7750

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Answer 2

Solution

Principal = ₹6250

Rate = 12%

Time = 2years

$\sf{A = P\bigg(1 + \dfrac{R}{100}\bigg)^n}$

$\sf{ = 6250 \bigg(1 + \dfrac{12}{100} \bigg)^{2years} }$

$\sf{ = 6250 \bigg(1 + \dfrac{3}{25} \bigg)^{2} }$

$\sf{ = 6250 \bigg( \dfrac{25 + 3}{25} \bigg)^{2} }$

$\sf{ = 6250 \bigg( \dfrac{28}{25} \bigg)^{2 }}$

$\sf{ = \cancel{625}0 \times \dfrac{786}{\cancel{625}}}$

$\sf{=10 \times 786}$

$\sf{Amount=₹7860}$

C.I. = A - P

C.I. = 7860 - 6250

Compound Interest = ₹1,610.

Additional Information

When interest compounded half-yearly

$\sf{A = P\bigg(1 + \dfrac{R}{200}\bigg)^{2n}}$

When interest compounded quarterly

$\sf{A = P\bigg(1 + \dfrac{R}{400}\bigg)^{4n}}$

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