If the ratio of C.I. and S.I. interest for th | vedclass

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

Question

(D) For $2$ years,the Compound Interest $(C.I.)$ is given by $C.I. = P \left[ \left( 1 + \frac{R}{100} \right)^2 - 1 \right] = P \left[ \frac{2R}{100}

Vedclass · Accepted Answer

$40$

Vedclass · Answer

(D) For $2$ years,the Compound Interest $(C.I.)$ is given by $C.I. = P \left[ \left( 1 + \frac{R}{100} ight)^2 - 1 ight] = P \left[ \frac{2R}{100} + \frac{R^2}{10000} ight]$.The Simple Interest $(S.I.)$ for $2$ years is $S.I. = \frac{P 	imes R 	imes 2}{100} = \frac{2PR}{100}$.The ratio is given as $\frac{C.I.}{S.I.} = 1.2$.Substituting the expressions: $\frac{P \left( \frac{2R}{100} + \frac{R^2}{10000} ight)}{\frac{2PR}{100}} = 1.2$.Simplifying the expression: $\frac{\frac{2R}{100} (1 + \frac{R}{200})}{\frac{2R}{100}} = 1 + \frac{R}{200} = 1.2$.Therefore,$\frac{R}{200} = 0.2$,which gives $R = 0.2 	imes 200 = 40 \%.$

If the ratio of $C.I.$ and $S.I.$ interest for the same principal and rate of interest for $2$ years is $1.2,$ find the rate of interest (in $\%$).

Similar Questions

In a certain number of years,a sum of money doubles itself at $6 \frac{1}{4} \%$ simple interest per annum. The required time (in $years$) is:

$A$ certain sum will amount to ₹ $12,100$ in $2$ years at $10 \%$ per annum of compound interest,interest being compounded annually. The sum is (In ₹)

Find the difference between $S.I.$ and $C.I.$ (in $Rs.$) at $14 \%$ per annum for $2$ years on a principal of $Rs. 10000$.

$A$ person takes a loan of ₹ $10,000$ at an interest rate of $10 \%$ compounded annually for a period of $4$ years. How much interest (in ₹) does he have to pay?

If $Rs. 1200$ amounts to $Rs. 1323$ in $2$ years at compound interest compounded annually,what will $Rs. 1600$ amount (in $Rs.$) to in $3$ years at the same rate?

Vedclass Test Series

Exam Paper Generator

Online Exam Module