Question

Find the amount if P =rs 2000, R = 5%
N = 2 yrs.
O
Rs. 2502
O
Rs. 2205
O Rs. 5220
None of the above​

Answer 1

${\pmb{\sf{\underline{Understanding \: the \: Question}}}}$

★ This question says that we have to find out the amount and thb principle is Rupees 2000, Rate of interest is 5 percentage and Time is 2 years.

${\pmb{\sf{\underline{Some \: options \: are \: provided}}}}$

$\begin{gathered}\boxed{\begin{array}{c}\\ \bf \bigstar \: Options \: are \: mentioned \: below \\ \\ \star \: \sf{Rupees \: 2502} \\ \\ \star\sf \: {Rupees \: 2205} \\ \\ \star \: \sf{Rupees \: 5220} \\ \\ \star \: \sf{None \: of \: the \: above} \end{array}}\end{gathered}$

${\pmb{\sf{\underline{Given \; that}}}}$

★ Principle is Rupees 2000

★ Rate of Interest is 5 percentage

★ Time is 2 years

${\pmb{\sf{\underline{To \: find}}}}$

★ The amount

${\pmb{\sf{\underline{Solution}}}}$

★ The amount is 2205 Rupees

$\begin{gathered}\boxed{\begin{array}{c}\\ \bf \bigstar \: Options \: are \: mentioned \: below \\ \\ \star \: \sf{Rupees \: 2502} \\ \\ \star\sf \: {Rupees \: 2205 \: \: \boxed{ \checkmark}} \\ \\ \star \: \sf{Rupees \: 5220} \\ \\ \star \: \sf{None \: of \: the \: above} \end{array}}\end{gathered}$

${\pmb{\sf{\underline{Using \; concept}}}}$

★ Formula to find out the amount(according to the question), it is given by

${\underline{\boxed{\sf{\quad P \: \Bigg(1 + \dfrac{R}{100} \Bigg)^{n} \quad}}}}$

${\pmb{\sf{\underline{Full \; Solution}}}}$

${\underline{\boxed{\sf{P \: \Bigg(1 + \dfrac{R}{100} \Bigg)^{n}}}}} \\ \\ :\implies \sf P \: \Bigg(1 + \dfrac{R}{100} \Bigg)^{n} \\ \\ :\implies \sf 2000 \: \Bigg(1 + \dfrac{5}{100} \Bigg)^{2} \\ \\ :\implies \sf 2000 \: \Bigg(1 + \dfrac{(100 \times 1) + (1 \times 5)}{100} \Bigg)^{2} \\ \\ :\implies \sf 2000 \: \Bigg(\dfrac{100+5}{100} \Bigg)^{2} \\ \\ :\implies \sf 2000 \: \Bigg(\dfrac{105}{100} \Bigg)^{2} \\ \\ :\implies \sf 2000 \: \Bigg(1.05 \Bigg)^{2} \\ \\ :\implies \sf 2000 \times 1.05 \times 1.05 \\ \\ :\implies \sf 2000 \times 1.1025 \\ \\ :\implies \sf Amount \: = 2205 \: Rupees$

${\underline{\frak{\therefore \: \: 2205 \: Rupees \: is \: the \: Amount}}}$