Question

If P= Rs. 250000 , R= 8% p.a, N= 2 years,
at compound interest then what is the
amount?
1 Rs. 2,91,600
2 Rs. 2,50,000
3 Rs. 25,000
4 Rs. 29,100
​

Answer 1

Given :-

• Principal = Rs,250000
• Rate = 8%
• Time = 2years

To Find :-

• Amount

Solution :-

${:} \longrightarrow \sf{\sf{Amount \: = \: Principal \: \times \: \bigg(1 \: + \: \dfrac{Rate}{100}\bigg)^{Time} }}\\\\ {:} \longrightarrow \sf{\sf{Amount \: = \: 250000 \: \times \: \bigg(1 \: + \: \dfrac{8}{100}\bigg)^{2} }}\\\\ {:} \longrightarrow \sf{\sf{Amount \: = \: 250000 \: \times \: \bigg( \dfrac{108}{100}\bigg)^{2} }}\\\\ {:} \longrightarrow \sf{\sf{Amount \: = \: 25 \cancel{0000} \: \times \: \dfrac{108}{1 \cancel{00}} \: \times \dfrac{108}{1 \cancel{00}}}}\\\\ {:} \longrightarrow \sf{\sf{Amount \: = \: 25 \: \times \: 108 \: \times \: 108 }}\\\\ {:} \longrightarrow \sf{\sf{Amount \: = \: 25 \: \times \: 11664 }}\\\\ {:} \longrightarrow \sf \boxed{\bf{Amount \: = \:Rs, 291600 }}$

________________

So, the Correct Option is a i.e Rs,291600

________________

Answer 2

Question ::-

If P= Rs. 250000 , R= 8% p.a, N= 2 years,

at compound interest then what is the

amount?

Given ::-

• Principal = Rs. 250000

• Rate % = 8%

• Time taken = 2 years.

To find ::-

• What is the amount ?

Solution ::-

• P = Rs. 250000

• R% = 8%

• T = 2 yrs.

_________

Amount = Principal × $( 1 + \dfrac{Rate}{100})^{2}$

⠀⠀⠀⠀⠀ = 250000 × $( 1 + \dfrac{8}{100})^{2}$

⠀⠀⠀⠀⠀ = 250000 × $( \dfrac{108}{100})^{2}$

⠀⠀⠀⠀⠀ = 25$\cancel{0000}$ × $\dfrac{108}{\cancel{100}} × \dfrac{108}{\cancel{100}}$

⠀⠀⠀⠀⠀ = 25 × 108 × 108

⠀⠀⠀⠀⠀ = 25 × 11644

Amount = Rs. 291600

_________

Hence , (a) is the right option