Question

Question 4. Calculate the amount and compound interest on 50000 for 2 years 5
months at 12% per annum, compounded annually.​

Answer 1

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

$\green{\tt{\therefore{Amount=65,750}}}$

$\green{\tt{\therefore{C.I=15,750}}}$

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

$\green{\underline \bold{Given: }} \\ \tt: \implies Principal(p) = 50000 \: rupees \\ \\ \tt: \implies Time(t) = 2 \: years \: 5 \: month \\ \\ \tt: \implies Rate\%(r) = 12\% \\ \\ \red{\underline \bold{To \: Find: }} \\ \tt: \implies Amount(A) = ? \\ \\ \tt: \implies Compound \: Interest(C.I)= ?$

• According to given question :

$\tt \circ \: Time =2 \frac{5}{12} = \frac{29}{12} \: years \\ \\ \bold{as \: we \: know \: that}\\ \tt: \implies A= p(1 + \frac{r}{100} )^{t} \\ \\ \tt: \implies A = 50000(1 + \frac{12}{100} )^{\frac{29}{12} } \\ \\ \tt: \implies A =50000 \times (1 + 0.12)^{ \frac{29}{12} } \\ \\ \tt: \implies A =50000 \times (1.12)^{ \frac{29}{12} } \\ \\ \tt: \implies A =50000 \times 1.315 \\ \\ \green{\tt: \implies A =65750 \: rupees} \\ \\ \bold{For \: compound \: interest} \\ \tt: \implies C.I= A - p \\ \\ \tt: \implies C.I =65750 - 50000 \\ \\ \green{\tt: \implies C.I =15750 \: rupees}$

Answer 2

$</p><p>\huge{\tt{\pink{Hello!!! }}}$

$</p><p>\tt{\blue{Given \: - }}$

$</p><p>\tt{\red{=>Principal \: = \: Rs \: 50,000 }}$

$\tt{\violet{=>Rate \: = 12 \% per annum. }}$

$\tt{\green{=>Time \: = \: 2 \: years \: 5 \: months \: = \: 2 \frac{5}{12} years. }}$

$\huge{\tt{\purple{Calculating\:CI \: and\: Amount\:}}}$

$</p><p>\huge{\tt{\orange{ When\: Time\:Is\:In\: Fraction}}}$

$\tt{ \red{A \: = P {(1 + \frac{R}{100} )}^{2} \times \frac{RT}{100} }}$

$\tt{ \blue{A \: = \: 50000{( \frac{28}{25} }^{2} ) \times \frac{\frac{3}{5} }{100} = 65750 }}$

$\tt{ \purple{C.I. \: = \: A \: - P \: = \: 65750 \: - \: 50000 \: = \: 15750\: }}$