On a sum of money, the simple interest for 2 | vedclass

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

Question

Let the rate of interest be $R \%$.

$\begin{array}{l}	ext { S.I. }=\frac{P 	imes 2 	imes R}{100}=660 \	ext { C.I. }=P\left[\left(1+\frac{R}{10

Vedclass · Accepted Answer

$11$

Vedclass · Answer

Let the rate of interest be $R \%$.

$\begin{array}{l}	ext { S.I. }=\frac{P 	imes 2 	imes R}{100}=660 \	ext { C.I. }=P\left[\left(1+\frac{R}{100}ight)^{2}-1ight]=696.30\end{array}$

$\frac{(2)}{(1)} \Rightarrow \frac{\left[\left(1+\frac{R}{100}ight)^{2}-1ight]}{\frac{2 R}{100}}=\frac{696.30}{660}$

$\Rightarrow \quad \frac{100}{2 R}\left(\frac{R^{2}}{100^{2}}+\frac{2 R}{100}ight)=1.055$

$\begin{array}{ll}\Rightarrow & \frac{R}{200}+1=1.055 \	ext { or } & R=(1.055-1) 	imes 200=11 \%\end{array}$

On a sum of money, the simple interest for $2$ $years$ is ₹ $660$, while the compound interest is ₹ $696.30$, the rate of interest being the same in both the cases. The rate of interest (In $\%$) is

Similar Questions

In how many years will a sum of ₹ $800$ at $10 \%$ per annum compound interest, compounded semiannually becomes ₹ $926.10$?

A sum of $Rs. 8448$ is to be divided between $X$ and $Y$ who are respectively $18$ and $19 \,yr$ old, in such a way that if their shares be invested at $6.25 \%$ per annum at compound interest, they will receive equal amounts on attaining the age of $21 \,yr$. The present share of $X$ is (In $Rs.$)

There is $60 \%$ increase in an amount in $6$ $years$ at simple interest. What will be the compound interest (In ₹) of ₹ $12000$ after $3$ years at the same rate?

A sum of $Rs. 1000$ after $3 \,years$ at compound interest becomes a certain amount that is equal to the amount that is the result of a $3 \,year$ depreciation from $Rs. 1728$. Find the difference between the rates (In $\%$) of $C.I.$ and depreciation? (Given $C.I.$ is $10 \%$ $p.a.$)

The difference between the simple interest on a certain sum at the rate of $10 \%$ per annum for $2$ years and compound interest which is compounded every $6$ months is ₹ $124.05$ . What is the principal (In ₹) ?