Find the compound interest on Rs. 1000 at the rate of 20% per annum for 18 month when interest is compounded half yearly.
A. Rs. 331
B. Rs. 1331
C. Rs. 320
D. Rs. 325
E. None of these
Answer: Option A
Solution(By Examveda Team)
$$\eqalign{ & {\text{Given,}}\,{\text{Principal}},\,P = Rs.\,1000 \cr & {\text{Compoind}}\,{\text{rate}},\,R = 20\% \,{\text{per}}\,{\text{annum}} \cr & = \frac{{20}}{2} = 10\% \,{\text{half - yearly}} \cr & {\text{Time}} = 18\,{\text{month}} = 3\,{\text{half - years}} \cr & {\text{Amount}}, \cr & A = \left\{ {P \times {{\left[ {1 + \left( {\frac{R}{{100}}} \right)} \right]}^n}} \right\} \cr & = \left\{ {1000 \times {{\left[ {1 + \left( {\frac{{10}}{{100}}} \right)} \right]}^3}} \right\} \cr & = { {\frac{{1000 \times 11 \times 11 \times 11}}{{10 \times 10 \times 10}}} } \cr & A = Rs.\,1331 \cr & {\text{Hence,}}\,{\text{compound}}\,{\text{interest}} = Rs.\,331 \cr} $$Join The Discussion
Comments ( 6 )
Related Questions on Interest
Find the simple interest on Rs. 5200 for 2 years at 6% per annum.
A. Rs. 450
B. Rs. 524
C. Rs. 600
D. Rs. 624
Rs. 1200 is lent out at 5% per annum simple interest for 3 years. Find the amount after 3 years.
A. Rs. 1380
B. Rs. 1290
C. Rs. 1470
D. Rs.1200
E. Rs. 1240
Interest obtained on a sum of Rs. 5000 for 3 years is Rs. 1500. Find the rate percent.
A. 8%
B. 9%
C. 10%
D. 11%
E. 12%
Rs. 2100 is lent at compound interest of 5% per annum for 2 years. Find the amount after two years.
A. Rs. 2300
B. Rs. 2315.25
C. Rs. 2310
D. Rs. 2320
E. None of these
could someone tell me how 18months is 3 half years
or any simplr formula??
I have 260
I solved Find the amount and compound interest on rs 16000 for 1.5 years at 10% per annum the interest begin compounded half yearly? and got answer as (Compound interest:rup 38000)
Thanks.
Syed Rashed.
@Nilesh, Interest is compounded half yearly.
And, In half yearly Interest , rate is taken as half of the original rate.
Here, Original rate is 20% but, it is compounded half yearly so it will become half i.e. 10%.
Now, do your calculation, you will get the answer.
A= p ( 1 + r|100)n
A= 1000( 1+ 20| 100) テモテつウ
1000 ( 1.2)テモテつウ
1000 ( 1.728)
1000テャテッツソツス 1.728
Ans A= 1728
How get the ans 331 plz help me