Question

find the compound interest when the rate is 6.25% , principal is ₹1275 and time is 1 year​

Answer 1

${ \huge{ \rm{ \underline{ \underline{ \purple{Question:-}}}}}}$



▪ Find the compound interest when the rate is 6.25% , principal is Rs. 1275 and time is 1 year?



${ \rm{ \huge{ \underline{ \underline{ \purple{Solution:-}}}}}}$




${ \dagger{{ \bold{ \blue{ \: \: \: GIVEN- }}}}}$




${ \star{ \sf{ \orange{ \: \: principal (P)= Rs . \: 1275}}}} \\ \\ { \star{ \sf{ \orange{ \: \: rate(R) = 6.25 \: percent}}}} \\ \\ { \star{ \sf{ \orange{ \: \: time(T) = 1 \: year}}}}$




${ \sf{ \pink{ \underline{ \underline{compound \: interest (C.I.)}}}}} \\ \\ { \boxed{ \red{ \boxed{ \sf{C .I. = P( {( 1 + \frac{R}{100} )}^{T} - 1)}}}}}$



putting the above given values in the formula...



${ \rightarrow{ \blue{ \sf{C .I. = 1275( {(1 + \frac{6.25}{100}) }^{1} - 1)}}}}$



${ \implies{ \sf{ \blue{C .I. = 1275((1 + \frac{625}{10000} ) - 1)}}}}$




${ \implies{ \blue{ \sf{C.I . = 1275((1 + \frac{25}{400} ) - 1)}}}}$




${ \implies{ \blue{ \sf{C .I . = 1275(1 + \frac{25}{400} - 1)}}}}$



${ \implies{ \blue{ \sf{C.I . = 1275 \times \frac{25}{400}}}}}$



${ \implies{ \boxed{ \boxed{ \red{ \sf{C.I. = Rs . \: 79.6875}}}}}}$

Answer 2

$\blue{\bold{\underline{\underline{Answer:}}}}$

$\green{\tt{\therefore{Compound\:Interest=79.6875\:rupees}}}$

$\orange{\bold{\underline{\underline{Step-by-step\:explanation:}}}}$

$\green{\underline\bold{Given :}} \\ \tt: \implies Principal(p) = 1275\: rupees \\ \\ \tt: \implies Rate\%(r) = 6.25\% \\ \\ \tt : \implies Time(t) = 1 \: years \\ \\ \red{\underline\bold{To \: Find :}} \\ \tt: \implies Compound \: Interest = ?$

• According to given question :

$\bold{As \: we \: know \: that} \\ \tt : \implies A =p(1 + \frac{r}{100} )^{t} \\ \\ \tt : \implies A =1275(1 + \frac{6.25}{100} )^{1} \\ \\ \tt : \implies A =1275 \times (1 + 0.0625) \\ \\ \tt : \implies A =1275 \times 1.0625 \\ \\ \green{\tt : \implies A =1354.6875 \: rupees} \\ \\ \bold{For \: compound \: interest : } \\ \tt : \implies C.I =A- p \\ \\ \tt : \implies C.I =1354.6875 - 1275 \\ \\ \green{\tt : \implies C.I=79.6875 \: rupees}$