Question

62500 for 2 year 6months at 12 percent per annum compounded annually

Answer 1

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

$\green{\tt{\therefore{Compound\:Interest=20,437.5\:rupees}}}$

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

$\green{\underline \bold{Given :}} \\ \tt: \implies Principal(p)= 62,500\:rupees\\ \\ \tt: \implies Rate\% = 12\% \\ \\ \tt: \implies Time(t) = 2 \: year \: 6 \: months \\ \\ \red{\underline \bold{To \: Find :}} \\ \tt: \implies Compound \: Interest = ?$

• According to given question :

$\tt \circ \: Time = \frac{30}{12} \: years \\ \\ \bold{As \: we \: know \: that} \\ \tt: \implies A= p(1 + \frac{r}{100} )^{t} \\ \\ \tt: \implies A =62500 \times (1 + \frac{12}{100} )^{ \frac{30}{12} } \\ \\ \tt: \implies A = 62500\times (1 + 0.12)^{ \frac{29}{12} } \\ \\ \tt: \implies A= 62500 \times (1.12)^{ \frac{30}{12} } \\ \\ \tt: \implies A=62500 \times 1.327 \\ \\ \green{\tt: \implies A = 82,937.5\:rupees } \\ \\ \bold{For \: Compound \: Interest : } \\ \tt: \implies C.I = A - p \\ \\ \tt: \implies C.I=82937.5 - 62500 \\ \\ \green{\tt: \implies C.I =20,437.5\:rupees}$

Answer 2

Given:-

• Principal (P) = ₹ 62500

• Time (n) = 2 years 6 months

• Rate (r) = 12 %

To find:-

Compound interest.

Solution:-

Total time = 24 months + 6 months

                = 30 months

                = 30/12 years

We know,

$\bold{A=P(1+\frac{r}{100})^n }$

$\bold{A=62500(1+\frac{12}{100})^\frac{30}{12} }\\\\\bold{A=62500(1+0.12)^\frac{30}{12} }\\\\\bold{A=62500*1.12^\frac{30}{12} }\\\\\bold{A=62500*1.327}\\\\\bold{A=82937.5 }$

A = ₹ 82937.5

Compound interest:

C.I. = A - P

⇒C.I. = 82937.5 - 62500

⇒C.I. = ₹ 20437.5