Question : Compound interest on a certain sum of money invested for 1.5 years at the rate of 10% per annum, compounded half-yearly is INR 5,044. What is the sum?
Option 1: INR 32,000
Option 2: INR 37,044
Option 3: INR 33,000
Option 4: INR 22,000
New: SSC CHSL tier 1 answer key 2024 out | SSC CHSL 2024 Notification PDF
Recommended: How to crack SSC CHSL | SSC CHSL exam guide
Don't Miss: Month-wise Current Affairs | Upcoming government exams
Correct Answer: INR 32,000
Solution :
Given:
Amount, $\mathrm{A = 5044}$
Rate of interest, $\mathrm{r = \frac{10}{2}=5}$% half yearly
Period of compounding, $\mathrm{n = 2}$
Time, $\mathrm{t = 1.5}$ years
Let the principal be $P$.
We know that,
$\mathrm{A = P \left(1 + \frac{r}{n}\right)^{nt} - P}$
$⇒\mathrm{5044 = P \left(1 + \frac{5}{100}\right)^{2 \times 1.5} - P}$
$⇒\mathrm{5044 = P (\frac{21}{20})^{3} - P}$
$⇒\mathrm{\frac{1261P}{8000}=5044}$
$⇒\mathrm{P =32000}$
Hence, the correct answer is INR 32,000.
Related Questions
Know More about
Staff Selection Commission Combined High ...
Result | Eligibility | Application | Admit Card | Answer Key | Preparation Tips | Cutoff
Get Updates Brochure
Your Staff Selection Commission Combined Higher Secondary Level Exam brochure has been successfully mailed to your registered email id “”.
