Question : The difference between compound interest and simple interest for 3 years and 2 years are in the ratio 23 : 7, respectively. What is the rate of interest per year (in %)?
Option 1: $\frac{200}{7}$
Option 2: $\frac{100}{7}$
Option 3: $\frac{300}{7}$
Option 4: $\frac{400}{7}$
Recommended: How to crack SSC CHSL | SSC CHSL exam guide
Don't Miss: Month-wise Current Affairs | Upcoming government exams
Correct Answer: $\frac{200}{7}$
Solution :
Difference between CI and SI for 2 years = $\frac{PR^2}{10000}$
Difference between CI and SI for 3 years = $\frac{PR^2}{10000}×\frac{300+R}{100}$
Ratio = $\frac{PR^2}{10000}×\frac{300+R}{100}$:$\frac{PR^2}{10000}$
⇒ $23 : 7 = \frac{300+R}{100}:1$
⇒ $\frac{300+R}{100} = \frac{23}{7}$
⇒ $7(300+R) = 2300$
⇒ $ R = \frac{200}{7}$%
Hence, the correct answer is $\frac{200}{7}$.
Related Questions
Know More about
Staff Selection Commission Combined High ...
Application | Eligibility | Admit Card | Answer Key | Preparation Tips | Result | Cutoff
Get Updates BrochureYour Staff Selection Commission Combined Higher Secondary Level Exam brochure has been successfully mailed to your registered email id “”.