Question

find the compound interest on 8500Rs. for 2 years at 8% p.a​

Answer 1

$\huge \sf \underline \red{Answer : }$

$\: \: \: \: \: \: \: \sf \underline \pink{ -12837}$

$\sf \huge \underline \blue{Given : }$

• principal = 8500
• rate = 8 %
• t = 2 years

$\: \: \: \: \: \: \: \: \: \sf \underline{we \: know \: that \: interest \: formula}$

$\: \: \: \: \: \: \: \sf { \boxed{\underline{ \underline {\red{ \tt{interest \: for \: 1st \: year = \frac{p \times r \times t}{100}}}}}}}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \implies \sf{ \dfrac{8500 \times 8 \times 2}{100}}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \implies \sf{ = 1360}$

$\sf \underline{ \therefore \: amount \: of \: first \: year \: is \: 8500 + 1360 }$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf \underline{ = 9860}$

$\sf \underline \blue{ \: so \: now \: interest \: of \: 2nd \: year \: is \: 9860}$

$\: \: \: \: \: \: \: \sf { \boxed{\underline{ \underline {\red{ \tt{interest \: for \: 2nd\: year = \frac{p \times r \times t}{100}}}}}}}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \implies \sf \blue{ \dfrac{9860\times 8 \times 2}{100}}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \implies \sf \blue{ = 1577.6}$

$\sf \underline \blue{ \therefore \: amount \: of \: second \: year \: is \: 9860 +1577.6 }$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf \underline \blue{ = 11437.6}$

$\: \: \: \: \: \: \: \sf { \boxed{\underline{ \underline {\red{ \tt{interest \: for \: 3rd\: year = \frac{p \times r \times t}{100}}}}}}}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \implies \sf { \dfrac{11437.6\times 8 \times 2}{100}}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \implies \sf{ = 1830}$

$\sf \underline{ \therefore \: amount \: of \: third\: year \: is \:11437 + 1830 }$

=12367

$\: \: \: \: \: \sf \underline{we \: know \: that \: c.i \: formula}$

$\: \: \: \: \: \: \: \: \: \: \: \: \sf{ \boxed{ \underline{ \underline{ \purple{ \tt{ci = amount - principal \: }}}}}}$

• ci compound interest

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf{(12367 - 8500) = 3867}$

$\: \: \: \sf \underline{ \: now \: total \: compound \: interest}$

$\sf{ \boxed{ \underline{ \underline{ \purple{ \tt{total \: ci = interest \: for \: 1st \: year + 2nd \: year + 3rd \: year }}}}}}$

$\: \: = \sf{1360 - 1830 - 12367 = - 12837}$

$\sf \underline \pink{ \therefore \: -12837}$

Answer 2

Answer:

CI = Rs 1414.4

Step-by-step explanation:

Given :

Principal = Rs 8500

Rate of Interest = 8% p.a

Time = 2 yrs

To Find :

Compound Interest

Formula Used :

CI = A - P

CI = P ( 1 + R / 100 ) ^ n - P

Procedure :

8500 ( 1 + 8 / 100 ) ^ 2 - 8500

8500 ( 108 / 100 ) ^ 2 - 8500

8500 * 108 / 100 * 108 / 100 - 8500

17 * 54 * 54 / 5 - 8500

17 * 2916 / 5 - 8500

49572 / 5 - 8500

9914.4 - 8500

= 1414.4

Solution :

Compound Interest = Rs 1414.4