Find compound interest on Rs.16000 at 20% per annum for 9 months, compounded quarterly.

NAVNEET KUMAR SABRE   8 years AGO

GIVEN P=16000, R=20%, N=9MONTHS=3/4YEARS AND COMPOUNDED QUATERLY.

FOR COMPOUNDED QUATERLY
AMOUNT = P[1+(R/4)/100]^4N
=16000[1+(20/4)/100]^{4 X (3/4) }
=16 X (21/20)^3
=18522
COMPOUND INTEREST (C.I.) IS

C.I.=AMOUNT - PRINCIPAL
=18522-16000
=Rs 2522............answer :)

Like? Yes (36) | No (8)  

Dinesh kumar sah   8 years AGO

Simply putting the formula n getting the result.
p=16000,r=20? but when compounded quarterly then rate will become 1/4th of the yearly ie 5? and time period will become 4 times of the original time period ie t=9×4 months=36 months=3 years.then CI=?
CI=p{[1+(r/100)]^n-1}
=16000{[1+(5/100)]^3-1}
=2522 Ans
Hence option (9) is the right answer.

Like? Yes (20) | No (4)  

Ankit Sharma   8 years AGO

20% per annum, so for quaterly its gonna be
20/4=5%
so total amount= 16000(1+5/100)^3
= 18522
hence CI=18522-16000
= 2522
so answer is option (9) 2522

Like? Yes (23) | No (8)  

karthi   8 years AGO

Given:P=Rs.16000,n=9months=3/4yrs,R=20%pa
Amount=P(1+R/4*100)^4n
=16000(1+20/400)^3/4*4
=16000(1+5/100)^3
=16000*21/20*21/20*21/20
=Rs.18522
Compound Interest =>18522-16000
=>Rs.2522

option 9)

Like? Yes (11) | No (4)  

pugazh gandhi   8 years AGO

formula for compound interest is
SUM=PRINCIPAL*[1+(r/n)]^nt
n=compounded period
t=no. of years
r=rate of intrest/100
16000[1+(0.2/4)]^0.75*4 = 18522
interest = 18522-16000
=2522
so correct opt is 9)

Like? Yes (8) | No (3)  

G.S.Kantharao   8 years AGO

P=Rs16000, R=20% per anum = 5% per quarter
Time=9months=3quarters
Compound Intrest= P{1+(R/100)}^n - P
= 16000(1+0.5)^3 -16000= 2522

Like? Yes (12) | No (7)  

Devireddy Jashuva   8 years AGO

1st quarter 800
2nd quarter 800+40
3rd quarter 800+82
total=2522

Like? Yes (5) | No   

kondapuram tirumalreddy   8 years AGO

according to question

when interest is compounded Quarterly formula is given as
Amount=P[1+{(R/4)/100}]^4*n
time = 9 months ==> 4 quarters=4*9 =36 months=3 years .

therefore Amount=16000*[1+{20/4*100}]^3=18522
compound interest=18522-16000=Rs.2522.

Like? Yes (11) | No (7)  

Shweta Mishra   8 years AGO

Since 9 months = 3/4 years
So, C.I = (16000*(1+((20/4)/100))^3)-16000 = 2522
Hence, option 9 is correct ans.

Like? Yes (4) | No (1)  

sharumathydeivasigamani   8 years AGO

since it is quarterly, first change the time and rate of its quarter parts.

where as,
time= 9months =9/12 yr
rate=20%

for quarter

time = 9 months which has 3 quarters
so time=3

rate=(20/4) = 5%

now applying in compound interest formula

CI=P(1+r/100)^n
CI=16000*(1+5/100)^3
CI=2522

Like? Yes (3) | No   

JENSI KARUNYA.S   8 years AGO

compound interest=16000{[(1+20/400)^(3*4/4)]-1}
CI=18522-16000
CI=2522
so the correct answer is option 9) 2522

Like? Yes (5) | No (2)  

anupama   8 years AGO

p=16000,t=9 months=3 quaters.
r=20% annum =5% quarter
amt = (16000*(1+5/100)3)
=18522
c.i = 18522-16000 = 2522

Like? Yes (3) | No   

NISHANT   8 years AGO

A=P(1+r/n)^n×t Here P=16000,r=0.2,n=4,t=3/4
CI=A-P

Like? Yes (3) | No (1)  

dokku vasu yadav   8 years AGO

p=16000,R=20%=5% quaterly t=9months=3 quaters
amount=p(1+(r/4/100)power of 3
16000*(1+5/100)power of 3
=16000*21/20*21/20*21/20=18522
C.I=18522-16000=2522

Like? Yes (4) | No (2)  

ayushi mishra   8 years AGO

A=P*(1+(R/100)^N
P=16000
RATE=20%,IT WILL BE 20/4=5%
TIME=9 MONTH=3 QUARTERS
HENCE,
A=16000(1+(5/100)^3
=18522
THEN
C.I=A-P
=18522-16000
=2522

Like? Yes (3) | No (1)  

Gautam Kumar   8 years AGO

(16000 * (1 + 5/100) ^ 3) - 16000 = 2522.
As Quarterly compounded so rate will be (20/4) i.e 5 % and time of 9 months will be 3 periods of 3 months .

Like? Yes (2) | No   

aakash singhal   8 years AGO

r=20/4= 5 n=3
16000(1+5/100)^3=18522
18522-16000=2522

Like? Yes (3) | No (2)  

jothi lakshmi   8 years AGO

Amount=16000*(1+(20/4)/100)^(9*3)/12
=>16000(105/100)^3
=>18522
CI=18522-16000
CI=2522

Like? Yes (1) | No   

DIVYA PRIYA. P   8 years AGO

here r=20/4=5% because interest is calculated quarterly then given n=9 months which has 3 quarter parts a year so n=3 then use it in the compound interest formula

Like? Yes (1) | No   

sujit sinha   8 years AGO

As it is compounded quarterly,
so rate =20/4%=5%
Time=(9/12)*4=3
Amount=16000(1+5/100)^3
=18,522
so C.I.=18,522-16,000
=2522

Like? Yes (1) | No   

ramyaraj   8 years AGO

p[1+(r/4)/100]^4n
16000[1+(20/4)/100]^3
=18522
ci=18522-16000
=2522

Like? Yes (1) | No (1)  

shivani shukla   8 years AGO

To find compound interest firstly we have to find amount i.e. 'A' then Compound Interest i.e. C.I
as we have to find C.I quarterly so we will put all the values in the formula i.e. A=P(1+(R/4)/100)^4n
where p=16000
time=9 month=3 quaters
rate=R=20%,it will be 20/4=5%
hence,
A=16000(1+5/100)^3
=18522
then C.I=A-P
=18522-16000
=2522

Like? Yes (1) | No (1)  

sai prathyusha   8 years AGO

principal=16000/-
time=9months=3quarters
rate=20%per annum=5% per quarter
amount=16000*(1+(5/100))^3=16000*(21/20)^3=18522
C.I=18522-16000=2522

Like? Yes (1) | No (1)  

rohith sundaresan   8 years AGO

For First 3 month 5% = 800
Second 3 months 5%= 800+ 5% 800
Third 3 months 5%= 840+ 5% 840
Total = 800+(800+40)+(840+42)

Like? Yes (1) | No (1)  

Dipanjan Mukherjee   8 years AGO

9 months= 3 quaters,so
rate =20%=r/4= 5% per quater
Ci=16000(1+5/100)^3-16000=2522

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vaishali agrawal   8 years AGO

CI=16000*(1+(20/400))^4*(9/12)
CI=18522
therefore compound interst=18522-16000=2522

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DEVANSH SUBNANI   8 years AGO

Amount(A)=P*(1+R/4/100)^4*n=18522
CI=18522-16000=2522
Option 9)

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Ankur Keshari   8 years AGO

4 quarter in one year so 5% quarterly and intrest for 3 more quarter.now simple compound intrest rate 5% time 3 quarter and amount 16000.

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shaik jasmin   8 years AGO

here principal p =16000;
time t =9 months=9/12 years;
rate r=20%;
amount=p[1+((r/4)/100)]^4t
=16000[1+((20/4)/100)]^[4*(9/12)]
=18522
ci=amount-principal
=18522-16000
=2522

Like? Yes | No   

Anant Mishra   8 years AGO

P=16000
T=9 month= 3 quarter
R=20%, 20/4=5%
A=P(1+R/100)^T
=18522
INTEREST=18522-16000=2522

Like? Yes | No   

rakeysh patel   8 years AGO

1) first three month intrest
(16000*20*0.25)/100 =800
after 3 month principal amount is 16800
then intrest after next 3 months = 840
after 6 months principal amount become 17640
after 9 months amount become 18522
so intrest is 18522-16000 = 2522

Like? Yes (1) | No (1)  

muskan Khandelwal   8 years AGO

As it is quarterly compounded...so rate will be 1/4 n time will be 4 Times of the given one I.e. R=5% and T=3 years.
c.i. = P*(100+R/100)^T

Like? Yes | No (1)  

prakash sharma   8 years AGO

if we calculate C.I quarterly then we use
Interest=P{1+((r/4)/100)}^4n -p where p=capital
r=rate,n=year
so in this question
Interest = 16000[1+(20/5)/100]^(4*9/12)-16000
=>18522-16000=2522

Like? Yes | No (1)  

Lakshmi Narayanan.k   8 years AGO

Amount=16000(1+20/4*100)^3
=18522.
18522-16000=2522(option 9)

Like? Yes (2) | No (3)  

vidyullatha sargu   8 years AGO

amount=p[1+(r/4)/100]^4n
9 months=9/12=3/4
16000[1+(20/4)/100]^4(3/4)
finally 16000(105/100)^3
=18522(amount)
therefore compund interest=amount-princlipal
18522-16000=2522

Like? Yes | No (1)  

Sandip Das   8 years AGO

p=16000
r=20%
t=9 months
=9/12 year
=3/4
CI=16000(1+(20/4)/100)^4*(3/4)
=16000(21/20)^3
=18522
compound interest=18522-16000
=2522 (option 9)

Like? Yes | No (1)  

VIDYALAKSHMI P J   8 years AGO

for compound interest calculated quaternerly
amount A=p(1+((r/4)/100))^4n
where p =principal amount
r=rate per annum
n=no of years
hence we get total amount after 9 months as Rs 18522
to get the compound interest CI =A-P
=18522 -16000
=Rs 2522

Like? Yes | No (1)  

A.KARTHIKA   8 years AGO

Quarterly, so R=20/4=5%
there are 3 quarters in 9 months
:- c.i=16000((1+5/100)^3)-1)
=16000* 1261/ 8000
=2522
ans:- 9) 2522

Like? Yes | No (1)  

bagyalakshmi   8 years AGO

Compound Interest= Amount*(1+20/100)^3-1
So, C.I=16000*(1+20/100)3-1
C.I=2522

Like? Yes | No (1)  

Gowtham   8 years AGO

sum=16000(1+[0.2/4])^0.75*4
=18522
int=18522-16000=2522

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sushant kumar   8 years AGO

CI= p*(1+r/100)^n - p;
16000*(1+5/100)^3 - 16000
here Interest rate is 20% per annum for a quarter it would be 20/4;
since interest is added after each qaurter so n = 9months/12 *4;

Like? Yes | No (1)  

Dhaval Vekariya   8 years AGO

Amont=16000*(1+(20/40/1000^4*9/12
A=18522
componded interest=18522-16000
=2522

Like? Yes | No (1)  

Prakash   8 years AGO

p=16000
time=9month= 3 quarters.
amount=1600*(1+(5/100))^3=18522
c.i=amount-princi=18522-16000=2522

Like? Yes (1) | No (2)  

rohit kumar jain   8 years AGO

compound interest = 16000×(21/20)^3= 18522
so CI= 18522-16000- 2522

Like? Yes | No (1)  

man mohan singh   8 years AGO

f=16000x(1+(0.2/4))^(4x0.75)=18522
ci= 18522-16000=2522

Like? Yes | No (1)  

Indrajit Bhandari   8 years AGO

interest 20% per annum means (20/4)=5% quarterly, (per 3 month).
Now, Principal+Interest for 9 month on 16000= 16000(1+5/100)^3 = 2522.
The power 3 comes from 9/3=3, as interest is counting per 3 month

Like? Yes | No (1)  

priyarajendran   8 years AGO

16000*{1+5/100)^3}
16000*{9261/8000}
18522
18522-16000
2522

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SHUBHAM GUPTA   8 years AGO

Rate =20% per annum compounded annually i.e after every 3 months
so rate of interest every 3 month will be (20/4)% =5%
after 9 months amount will be
16000 [1 + {5/100}]^3=18522
Interest will be 18522-16000=2522 Rs
Hence answer will be option 9). 2522

Like? Yes | No (1)  

GOPIGA S KUMAR   8 years AGO

p = 16000
r = 20

9 months = 3 quarters
n = 3/4

amount= p(1+r/400)^(4*n)
amount = 16000*(1 + 20/400)^3 = 18522

c.i = amount - principal = 18522-16000=2522

Like? Yes | No (1)  

Ankit Kumar Maurya   8 years AGO

compounded quarterly so rate becomes 20/4=5%
and time become 9/3=3

we will put this in the compound interest formula and get answer 2522

Like? Yes | No (1)  

gulshan   8 years AGO

A=16000*{1+(20/4*100)}^9*4/12
A=16000*{1+1/20}^3
A=16000*(21/20)^3
A=18522
CI=A - P
CI=18522-16000
= 2522

Like? Yes | No (1)  

harshit agarwal   8 years AGO

p=16000
t=9 months=3 quarters
r=20% per annum=5% per quarter
a=16000*(1+(5/100))^3
a=18522 interest=18522-16000=2522

Like? Yes | No (1)  

Karan Saxena   8 years AGO

CI=Amount -Principle

CI=16000(1+20/400)^(3/4)*4 - 16000
so answer will be 2522

Like? Yes (1) | No (2)  

ANUSHKA BAJPAI   8 years AGO

Compound Interest quarterly = P(1+((R/4)/100))^4n
where,
P is principal
R is rate of Interest
N is time (in years )

Like? Yes (1) | No (2)  

Manisha gouri   8 years AGO

given principal=16000 r=20% n=9months per annum for quaterly
now we should calculate first Amount
Amount = p(1+(r/4)/100)^4n
= 16000(1+(20/4)/100)^4*(9/12
Amount = 18522
now we need to calculate compound interest,formula is
compound interest =amount-principal
=18522-16000
C.I =2522

Like? Yes | No (1)  

Samruddha   8 years AGO

a=p[1+(r/n)]^nt
p=16000;r=20%=0.2;n=4;t=9/12 years
a=18522 ,now intrest=18522-16000=2522

Like? Yes | No (1)  

prem sagar   8 years AGO

GIVEN:-Compounded quartly
p=16000
r=20%
AMOUNT=P(1+(R/4)/100)^4N
A=18522
C.I=18522-16000=2522

Like? Yes | No (1)  

Mahesh Mahajan   8 years AGO

P = 16000/-
R = 20% per annum = 5% per quarter.
T = 9 months = 9/12 yr
So,compounded quarterly ,4n here n is in year.Hence ,
T = (9/12)*4 = 3 .
Now,
A = P(1 + (R/4)/100) ^4n
A = 16000 (1 + 5/100) ^3
= 18522
compound Interest = Amount - Principle
=18522 - 16000
=2522/-

Like? Yes | No (1)  

phanikumar   8 years AGO

the compound quarterly formula is p(1+(r/4)/100)^4n

given p=16000 ,r=20% and n=9/12=.75
so finally wet ans 18522
so 18522-16000=2522 so ans is 2522

Like? Yes | No (1)  

Mahima singh   8 years AGO

A= p[ 1 + (r/4)/100]^4n
A= 16000[ 1+ (20/5)/100]^ 4* 3/4
A= 16000[ 1+ (1/20)]^3
A= 16000[ (21/20)]^3
A= 18552

C.I= A-p
C.I= 18552- 16000
C.i = 2552

Like? Yes | No (2)