Question

Find the amount which ram will get on rupees 4096,if he gave it for 18 months at 25percentage per annum interest being compounded half yearly?

Answer 1

Given :-

• Ram having rupees = ₹4096

• Time issued to ram = 18 months

• Rate of Interest = 25%

Solution :-

According to the question,

Principal = 4096

Rate = 25% * 1/2

[ Per annum compounded half yearly ]

Time = 18 months

Time = 18/6 = 3 half years

[ Compounded half yearly ]

Here,

We have to find the amount ?

Now,

By using formula,

Amount ( A ) = P ( 1 + R/100)^n

A = 4096 ( 1 + 25/2 / 100 )^3

A = 4096 ( 1 + 25 /200 )^3

A = 4096 ( 1 + 1/8 )^3

A = 4096 ( 8 + 1 / 8 )^3

A = 4096 ( 9/8 )^3

A = 4096 * 9/8 * 9/8 * 9/8

A = 4096 * 729/512

A = 8 * 729

A = 5832

Hence, The amount he will get in Rs5832$.$

Formula kept in mind :-

• SI = P * R * T /100

• CI = P * ( 1 + R/100)^n years

Answer 2

Step-by-step explanation:

$\huge \star{\color{green}{\underline{ \underline{\textsf{\textbf{\color{indigo}{Question}}}}}}}::-$

Find the amount which ram will get on rupees 4096,if he gave it for 18 months at 25percentage per annum interest being compounded half yearly?

$\huge \star{\color{green}{\underline{ \underline{\textsf{\textbf{\color{indigo}{Given}}}}}}}::-$

.

Principal = ₹4096

Rate = 25% × 1/2 [Per annum compounded half yearly]

Time = 18 months / => 18/6

=>3Half years

[Compounded half yearly]

$\huge \sf\underline{To \: Find} ::-$

Amount?

$\huge \sf\underline{Formula \: Used} ::-$

$\large \bull\sf\green{Amount (A) = P (1 \dfrac{r}{100} {)}^{2}}$

$\huge \star{\color{green}{\underline{ \underline{\textsf{\textbf{\color{indigo}{Solution}}}}}}}::-$

$\bf \red{Amount (A) = P (1 \dfrac{r}{100} {)}^{2}}$

$:\implies A = 4096(1 + \dfrac{25}{2 \times 100} {)}^{3} \\ :\implies A = 4096(1 + \dfrac{ \cancel \red{25}}{ \cancel \red{200} } {)}^{3} \: \: \: \: \: \: \: \: \: \\ :\implies A = 4096(1 + \frac{1}{8} {)}^{3} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ :\implies A = 4096( \frac{1 \times 8}{1 \times 8} + \frac{1}{8} {)}^{3} \: \: \: \: \\ :\implies A = 4096( \frac{8 + 1}{8} {)}^{3} \: \: \: \: \: \: \: \: \: \: \: \: \: \\ :\implies A = 4096 \times \frac{9}{8} \times \frac{9}{8}\times \frac{9}{8} \\ :\implies A =\cancel \red{4096} \times \frac{729}{ \cancel \red{512}} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \huge :\implies \bf\fbox \color{navy}{A =5832}$

$\therefore \sf \color{navy} {Amount \: ram\: will \: get = } \bold \red{₹5832}$

Hope it helpful..

@Somya2563