At what rate percent per annum will a sum of Rs. 2000 amounts to Rs. 3125 in 2 years, compounded annually?
78 views
0 Votes
0 Votes

At what rate percent per annum will a sum of Rs. 2000 amounts to Rs. 3125 in 2 years, compounded annually?

1 Answer

0 Votes
0 Votes
 
Best answer

SOLUTION :

Here $A=$ Rs. 3125

$\begin{aligned} P &=\text { Rs. } 2000 \\ t &=2 \text { years, } R=? \end{aligned}$

Then, $\left(1+\frac{R}{100}\right)^{t}=\frac{A}{P}$

$\Rightarrow\left(1+\frac{R}{100}\right)^{2}=\frac{3125}{2000}=\frac{625}{400}$

$=\left(\frac{25}{20}\right)^{2}$

$\Rightarrow 1+\frac{R}{100}=\frac{25}{20}$

$\Rightarrow \frac{R}{100}=\frac{25}{20}-1=\frac{5}{20}$

$\therefore R=\frac{5}{20} \times 100$

$=25 \% ;$ Ans.

Therefore, The Rate is 25%.

RELATED DOUBTS

1 Answer
0 Votes
0 Votes
97 Views
1 Answer
0 Votes
0 Votes
72 Views
1 Answer
0 Votes
0 Votes
55 Views
1 Answer
0 Votes
0 Votes
105 Views
1 Answer
0 Votes
0 Votes
121 Views
Peddia is an Online Question and Answer Website, That Helps You To Prepare India's All States Boards & Competitive Exams Like IIT-JEE, NEET, AIIMS, AIPMT, SSC, BANKING, BSEB, UP Board, RBSE, HPBOSE, MPBSE, CBSE & Other General Exams.
If You Have Any Query/Suggestion Regarding This Website or Post, Please Contact Us On : [email protected]

CATEGORIES