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Aptitude - Simple Interest - Discussion

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"Hold a true friend with both hands."
- (Proverb)
1. 

A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 854 in 4 years. The sum is:

[A]. Rs. 650[B]. Rs. 690
[C]. Rs. 698[D]. Rs. 700

Answer: Option

Explanation:

S.I. for 1 year = Rs. (854 - 815) = Rs. 39.

S.I. for 3 years = Rs.(39 x 3) = Rs. 117.

Principal = Rs. (815 - 117) = Rs. 698.


V.Malarvizhi said: (Tue, Jul 20, 2010 09:43:59 AM)    
 
Why not applied principal formula si*100/r*t ?

Jayesh said: (Sat, Aug 21, 2010 01:12:34 AM)    
 
Can the formula be SI*100/R*T ?

Name said: (Mon, Sep 6, 2010 10:13:17 AM)    
 
3y--815,
4y--854,
----------
1y--39,

So, 3y ---39 x 3 = 117

Principal is = (815-117) = 698

Kannan said: (Thu, Nov 25, 2010 06:16:54 AM)    
 
Why should not subsract with 854? Please clear my doubt....

Priya said: (Mon, Nov 29, 2010 10:04:37 AM)    
 
@Lavanya and kanna

To get 1 year difference we have to subtract
4year amount-3year amount
this difference amount is the 1 year simple interest..
that's why..
Rs. (854 - 815) = Rs. 39
39 is 1year S.I.

hope it helps you..

Nag said: (Tue, Feb 8, 2011 10:15:04 AM)    
 
Thank you. This is explanation is very helpful for me.

Appu said: (Mon, Feb 21, 2011 08:29:22 PM)    
 
Hai friends,

Principle is the amount borrowed. Here, explain about SI of 3 years and 4 years. Assume P is the principal then, P+854 for 4 years and p+815 for 3yrs.

So here it is necessary to find the SI of one year and subtract it from the 3 year or 4 year.

That is, (815-117) = 698 and 854-156=698.

Vishnu said: (Tue, Mar 8, 2011 05:03:11 AM)    
 
To get a si of one year or it might be two years if it is two year we have to divide it by two si=3yrs -2yrs willl give u one year si why should we have to go to risk.

Ramesh said: (Fri, Mar 18, 2011 07:15:04 AM)    
 
PTR/100 = 815
P*3*R/100 = 815
R/100=854- 815
p * 3 * 39 = 815
P * 117 = 815
p = 815-117 = 698

Hari said: (Sat, Mar 26, 2011 03:14:01 AM)    
 
I like this type of solutions thank you

I think this answer also

1year 854-815=39

3years 39*4=156

854-156=698

Vijay said: (Fri, May 27, 2011 12:52:26 AM)    
 
What is formula of simpe interest ?

Rajini Kumar said: (Fri, Jun 3, 2011 12:38:38 PM)    
 
S.Ib = PNR/100

Narasimha Reddy said: (Sat, Jun 4, 2011 07:01:21 AM)    
 
S.I=PTR/100

Gayathri said: (Wed, Jun 22, 2011 01:15:27 AM)    
 
Hi Friends!
Principle = the amt u borrowed
Interest = the small additional amt u pay for the amt u
borrowed

First let me explain u d question
In the question,
A sum of money at simple interest amounts to Rs. 815 in 3 years means the Principle amt together wit the interest paid for 3 yrs is Rs. 815 and similarly Principle amt together wit the interest paid for 4 yrs is Rs. 854

Therefore, if we subtract (854-815) we get the simple interest for 1 year as Rs. 39

Then, we calculate simple interest for 3 yrs as (39*3)= 117

Next step, we subtract (815 - 117) to get Principle amt for a yr as Rs. 698

Brief explanation for last step:

815 = Principle amt + int for 3 yrs ......equation 1
117 = int for 3 yrs ......equation 2

now subtract both equations, we get the principle amt

I hope tat this explanation will be helpful to u

Reshmi said: (Wed, Jul 6, 2011 04:09:46 AM)    
 
Thank you gayathri. You explained well.

Prathap said: (Wed, Jul 6, 2011 08:53:56 AM)    
 
Simple and clear explanation by gayatri.

Raghu Karthic said: (Thu, Jul 28, 2011 06:47:37 PM)    
 
Superb explanation gayathri. Thanks a lot.

Ashik said: (Sat, Jul 30, 2011 11:41:51 AM)    
 
S.I for one yr=854-815=39
for 4 years=4*39=156
hence,854-156=698

i think it will be simple....

Vikram said: (Tue, Aug 2, 2011 10:37:50 PM)    
 
According to the question,

SI + P = 815 in three years and
SI + P = 854 in four years

so 815 - P = SI and
854 - P = SI
Therefore,

815 - P = (P * 3 * R)/100 and ---- eq 1
854 - P = (P * 4 * R)/100 ---- eq 2
Now,
eq 1 / eq 2 gives

(815 - P)/(854 - P) = 3/4
Solving this eq, we get
P = 698

Uma said: (Tue, Aug 16, 2011 09:40:22 PM)    
 
@gayathri your explination is very helpfull.

Thank you.

Harsh said: (Tue, Sep 13, 2011 08:29:52 PM)    
 
I am not deciding which is easiest way to solve of the given question so please suggest me.

Venkatesh said: (Mon, Sep 19, 2011 12:35:32 PM)    
 
Gayathri thank you so much before that I want to say myself I am dull even though I understood you are explantion it is very clear keep it up.

Jaya said: (Mon, Sep 26, 2011 08:45:43 PM)    
 
Gayathri thanks a lot its vry clr & simple

Kichu said: (Mon, Oct 24, 2011 07:03:35 PM)    
 
Thanks gayathri.

Muskan said: (Sun, Nov 20, 2011 03:53:53 PM)    
 
Please give me the solution of this question.

A certain sum given on simple interest became double in 20 years. In how many years will it be 4 times.

Ranjitha said: (Tue, Dec 27, 2011 10:54:07 PM)    
 
Its same friends.. you can do it in either way
(39*4)=156
854-159=698 only

Sonia said: (Thu, Dec 29, 2011 08:12:49 PM)    
 
Thanks Gayathri. Really your explanation is helpful.

Venkatesh Kumar said: (Tue, Jan 17, 2012 09:12:48 PM)    
 
Thanks Gayathti for giving detailed explanation.

Saurabh said: (Tue, May 1, 2012 12:30:27 AM)    
 
Thanks gayathri.

Tejashree said: (Fri, Jun 8, 2012 09:21:58 PM)    
 
Thanks gayathri

Radhika said: (Sat, Jun 23, 2012 01:18:17 PM)    
 
Thank you so much Gayathri.... very good explaination

Moksh said: (Sat, Jul 21, 2012 12:06:23 AM)    
 
@Gayathri.

Thanks a lot dear.

Very useful answer :).

Ismail Khan said: (Fri, Aug 17, 2012 12:33:54 AM)    
 
Amount for three years is 815
so AMOUNT= p + SI
A = p + pin
815= p + 3pi.......... (1)
similerly for 4 years
854 = p +4pi..........(2)
subtracting equation (1) from(2) we get
39 = pi
or
pi =39
put this value of pi in equation (1) we get
815= p+ 3*39
815= p+ 117
815-117=p
p=698

Satish said: (Mon, Sep 3, 2012 09:43:34 AM)    
 
@Gayahthri explained good .

Sudesna said: (Wed, Sep 4, 2013 03:01:15 PM)    
 
When we apply the formula SI = PRT/100.

And when we apply the formula Amount = P+SI.

Sumit Singh said: (Mon, Dec 23, 2013 09:16:13 AM)    
 
815 ------ 854 (This value 39 increase in 1 year ).

So in four year 39*4/156.

This 156 is interest in four year.

So principle is equal to / 854-156 equal to 698.

Varunraj said: (Sat, Jan 4, 2014 03:51:30 PM)    
 
If we take for four years.

39*4 = 156.

854-156 = 698 is the answer.

If we take three years.

39*3 = 117.

815-117 = 698 the answer is same !

We can do both the way.

Ravi said: (Fri, Mar 28, 2014 05:00:20 PM)    
 
If in this question asked rate also then how to solve this question?

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