Akshaya   9 years AGO

SI = Pnr/100, P=Interest, n= Number of years, r = rate of interest
Here P = 2600, r = 20/3
For n=1 and n=2, the interest amount will be 173.33 and 346.66 respectively.
For n = 3, Interest = 520
The least number of years at which the interest amount is whole number is Rs.520.
Hence, the answer is option (3).

Like? Yes (13) | No (6)  

Devendra Marghade   9 years AGO

Simple interest on Rs 2600 at 20/3% for 'x' years =2600*20*x/(3*100)=520x/3
For exact number of rupee, x=3,6,9,...
So least number of years=3
Option 3)

Like? Yes (6) | No (1)  

kriti kankariya   9 years AGO

to get exact value denominator should completely divide the numerator
here si=2600*20*t / (3*100)
as 2600 is divisible by 100
but neither of them is divisible by 3
so taking time as multiple of 3 will give exact value
as we need least time so it will be 3*1 = 3yrs

Like? Yes (5) | No   

sumit kumar   9 years AGO

exact no of rupees means not decimal amount.this will happen at 3 and 6 but according to question least no will 3. so option is 3.

Like? Yes (5) | No   

MRITUNJAY   9 years AGO

s.I =2600*20/3*t/100

so s.I be exact number t will be 3 years.

Like? Yes (2) | No   

lokesh kumar   9 years AGO

Because of when applying formula of simple interest the 3 will be divided get the SI in number of rupees.

Like? Yes (2) | No   

Venkateswarlu   9 years AGO

interest for 1 year=920/300)*2600=173.3333
after three years interest will be=173.3333*3=520.(exact no. of rupees)

Like? Yes (1) | No   

Deepanshu Chaturvedi   9 years AGO

SI= Rs. 2600*20/3*t/100= Rs 520/3
so t=3 years

Like? Yes (2) | No (1)  

Chandrajeet Yadav   9 years AGO

(2600*20/3*x)/100 = (520*x)/3
if we we put x =3 then it will be exact number of rupees.

(520*3)/3 = 520

Like? Yes (1) | No   

Jaikumar Bhatia   9 years AGO

I=Prt=2600*[(20/3*100)]*3=520
ans is 3 years
option is (3)

Like? Yes (1) | No   

ramakrishnateja   9 years AGO

si=p*t*r/100. si=2600*t*20/(3*100)=26*20*t/3.
for si to be equal to rupees then the nr should be multiple of 3. so least possible value is 3.

Like? Yes (1) | No   

Anil kumar   9 years AGO

simple interest= PRT/100
I=2600*20*3/(100*3)=520

Like? Yes (1) | No   

JENSI KARUNYA.S   9 years AGO

S.I=(2600*20/3*1/100)*T
=(520/3*T)
only if T=3 years we will get exact rupees.
so T=3 years

Like? Yes (2) | No (1)  

Rahul   9 years AGO

Put values P = 2600, R = 20/3 in I = PRN / 100. Value of N which makes the denominator 1 is N = 3. Hence, 3 years.

Like? Yes (1) | No   

chetan   9 years AGO

Simple interest=2600*20/3*1/100*t.
S.I=520/3*t.
t=3.
so option 3 is correct.

Like? Yes (1) | No   

Neha Giri   9 years AGO

As SI=P*R*T/100;
when t=1
Si=(2600*20*1)/(3*100)
which is not equal to an exact rupees.
Same when t=T=2 yrs.
When T=3 yrs,
SI=(2600*20*3)/(3*100)
=520, an exact number of rupees.

Like? Yes (1) | No   

Saurabh Agrawal   9 years AGO

intrest would be 26*20/3 =173.333...
that will be exact value after 3 years i.e 26*20*3/3=26*20=520

Like? Yes (1) | No   

Surabhi Yadav   9 years AGO

Simple interest = Rs. [2600 × 20 / 3 × 1 / 100 × T] = Rs.[  520 / 3 × T]

       Which is an exact number of rupees when T = 3

Like? Yes (1) | No   

Nandkishor jaiswal   9 years AGO

si=p*r*t/100
2600*20/3*t/100
=520/3*t
now t=3 will satisfy the simple interest as a positive integer
option 3

Like? Yes (1) | No   

Rajni   9 years AGO

3 is directly divisible so is 6.. but we are also getting the exact number of rupees.

Like? Yes (1) | No   

Pankaj   9 years AGO

(2600 x 20 x T)/(3 x 100) = SI
(26 x 20 x T) / 3 = SI
SI is interral only if T=3
=> T = 3 ANS.

Like? Yes (1) | No   

Isha Saxena   9 years AGO

interest=(principal*rate*time)/100
=[(2600)*(20/3)*time]/100
=(520*time)/3
thus for the answer to be in exact rupees time should be a multiple of 3.therefore 3 is the minimum no. of years.

Like? Yes (1) | No   

RAHUL KUMAR   9 years AGO

S.I. = Rs. [ 2600 × 20 / 3 × 1 / 100 × T ] = Rs.[ 520 / 3 × T ]
Which is an exact number of rupees when T = 3
option (3) is correct.

Like? Yes (1) | No (1)  

vamsi krishna   9 years AGO

S.I = PTR/100
2600x(20/3)xT = 520/3
For least exact number T=3

Like? Yes (1) | No (1)  

sravani   9 years AGO

it should be a multiple of 3...
3 is the least possible multiple..

Like? Yes (1) | No (1)  

n.sita   9 years AGO

the answer should a multiple of 3 and 3 is the least multiple .

Like? Yes (1) | No (1)