24 Views

Question : INR 20,000 is lent at compound interest at an annual rate of 16% for 1 year. If the compounding of interest is done half yearly, then how much interest will be obtained?

Option 1: INR 3180

Option 2: INR 3396

Option 3: INR 3224

Option 4: INR 3328


Team Careers360 24th Jan, 2024
Answer (1)
Team Careers360 25th Jan, 2024

Correct Answer: INR 3328


Solution : Rate, $R$ = 16%
Tem, $n$ = 1 year
Principal sum, $P$ = INR 20000
When compounded half-yearly,
Amount = $P(1+\frac{R}{200})^{2n}$
Compound interest = $P(1+\frac{R}{200})^{2n}-P$
= $20000(1+\frac{16}{200})^{2}-20000$
= $20000(1+\frac{2}{25})^{2}-20000$
= $20000(\frac{27}{25})^{2}-20000$
= $20000(\frac{27^2}{25^2}-1)$
= $20000(\frac{27^2-25^2}{625})$
= $\frac{20000×52×2}{625}$
= INR 3328
Hence, the correct answer is INR 3328.

Know More About

Related Questions

Manipal Online M.Com Admissions
Apply
Apply for Online M.Com from Manipal University
View All Application Forms

Download the Careers360 App on your Android phone

Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile

150M+ Students
30,000+ Colleges
500+ Exams
1500+ E-books