Question

Reena borrowed on amount of 200000 from bank to construct her house for 5year at the rat of 5 % compound annually find the amount she have return after 5 year
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Find the amount she
retuin after 5 year.​

Answer 1

Correct Question :

Reena borrowed on amount of Rs. 200,000 from bank to construct her house for 5 year at the rate of 5% compound annually find the amount she have return after 5 year.

AnswEr :

• Principal = Rs. 200,000
• Rate = 5% p.a.
• Time = 5 Years

• Amount of Compound Interest is:

$\longrightarrow \tt{Amount = P \times \bigg(1 +\dfrac{r}{100} \bigg)^{t}} \\ \\\longrightarrow \tt{Amount = 200000 \times \bigg(1 + \cancel\dfrac{5}{100} \bigg)^{5}} \\ \\\longrightarrow \tt{Amount = 200000 \times \bigg(1 +\dfrac{1}{20} \bigg)^{5}} \\ \\\longrightarrow \tt{Amount = 200000 \times \bigg(\dfrac{20 + 1}{20} \bigg)^{5}} \\ \\\longrightarrow \tt{Amount = 200000 \times \bigg(\dfrac{21}{20} \bigg)^{5}} \\ \\\longrightarrow \tt{Amount = \cancel{200000}\times \dfrac{9261}{\cancel{8000}} \times \dfrac{441}{400} } \\ \\\longrightarrow \tt{Amount =\cancel{25} \times 9261\times \dfrac{441}{\cancel{400}} } \\ \\\longrightarrow \tt{Amount = \dfrac{9261 \times 441}{16} } \\ \\\longrightarrow \tt{Amount = \cancel\dfrac{4084101}{16}} \\ \\\longrightarrow \large \boxed{ \red{\tt{Amount = Rs. \:255256.313}}}$

⠀

∴ Reena have to Return Rs. 255256.313

#answerwithquality #BAL

Answer 2

Answer:

$\bold\green{ANSWER=Rs.255256.31}$

_________________________

$\huge\underline\mathfrak{Solution\::}$

__________________________

$\bold\green{Given\::}$

● Principal (P) = 200000

● Time(n) = 5 years.

● Rate of interest (r) = 5%

● Compound principal=?

Now we will calculate compounded money which will have to given by Reeta after 5 years.

_________________________

$\longrightarrow\tt CP = {P(1+r)}^{n}$

$\longrightarrow\tt CP =Rs. {200000(1+5\%)}^{5}$

$\longrightarrow\tt CP =Rs. {200000(1+0.05)}^{5}$

$\longrightarrow\tt CP =Rs. {200000(1.05)}^{5}$

$\longrightarrow\tt CP =Rs. 200000\times 1.2762816$

$\longrightarrow\tt CP =Rs.255256.31$

So, Reena has to return Rs.255256.31 after 5 years.♥

#Answerwithquality & #BAL