If the amount is 6 frac{1}{4} times the princ | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(D) Let the principal be $P = 100$.The amount $A$ after $2$ years is $6 \frac{1}{4}$ times the principal,so $A = 100 	imes \frac{25}{4} = 625$.The fo

Vedclass · Accepted Answer

$150$

Vedclass · Answer

(D) Let the principal be $P = 100$.The amount $A$ after $2$ years is $6 \frac{1}{4}$ times the principal,so $A = 100 	imes \frac{25}{4} = 625$.The formula for compound interest is $A = P(1 + \frac{r}{100})^n$,where $n = 2$.Substituting the values: $625 = 100(1 + \frac{r}{100})^2$.Dividing both sides by $100$: $6.25 = (1 + \frac{r}{100})^2$.Taking the square root of both sides: $\sqrt{6.25} = 1 + \frac{r}{100}$.$2.5 = 1 + \frac{r}{100}$.$1.5 = \frac{r}{100}$.$r = 1.5 	imes 100 = 150 \%$.

If the amount is $6 \frac{1}{4}$ times the principal after $2$ years at compound interest,the rate of interest (in $\%$) per annum is

Similar Questions

$A$ sum of ₹ $3,200$ invested at $10 \%$ per annum compounded quarterly amounts to ₹ $3,362$. Compute the time period (in years).

What will be the amount (in ₹) received on $25000$ at the rate of $20 \%$ per annum compounded yearly for $4$ years?

Sonika invested an amount of ₹ $5800$ for $2$ years. At what rate of compound interest (in $\% \text{ p.a.}$) will she get an amount of ₹ $594.50$ as interest at the end of two years?

The difference of compound interest (in ₹) on ₹ $800$ for $1$ year at $20 \%$ per annum when compounded half-yearly and quarterly is:

If the compound interest on a certain sum for $2$ $years$ at $3 \%$ per annum is $Rs. 101.50$,then the simple interest (in $Rs.$) on the same sum at the same rate and for the same time will be:

Vedclass Test Series

Exam Paper Generator

Online Exam Module