Aptitude - Compound Interest - Discussion
Discussion Forum : Compound Interest - General Questions (Q.No. 12)
12.
If the simple interest on a sum of money for 2 years at 5% per annum is Rs. 50, what is the compound interest on the same at the same rate and for the same time?
Answer: Option
Explanation:
| Sum = Rs. |  |
50 x 100 |  |
= Rs. 500. |
| 2 x 5 |
| Amount |
|
||||||||||
|
|||||||||||
| = Rs. 551.25 |
C.I. = Rs. (551.25 - 500) = Rs. 51.25
Discussion:
10 comments Page 1 of 1.
Khyati mehta said:
5 years ago
Given t=2 years, rate=5%, SI=50.
So, from this 50 = (P*5*2)/100
P = 500.
Now use formula of difference for 2 years.
CI -SI =p*(R/100)^2.
CI-50=500(5/100)^2.
CI = 51.25.
So, from this 50 = (P*5*2)/100
P = 500.
Now use formula of difference for 2 years.
CI -SI =p*(R/100)^2.
CI-50=500(5/100)^2.
CI = 51.25.
(2)
Appu said:
2 years ago
The difference when the time period is 2 years, where only the SI and rate of interest are given, will be;
Diff= SI*R/200.
ie, (50*5)/200= 1.25.
Diff= SI*R/200.
ie, (50*5)/200= 1.25.
(1)
HENRY said:
10 months ago
First, we will find the principal using the formula of SI which is PRT/100 = P * 5 * 2/100.
P = 500,
Now,
CI = P(1 +R/100) - 1 = 500(1 + 5/100)-1 = 51.25.
Hope it helps.
P = 500,
Now,
CI = P(1 +R/100) - 1 = 500(1 + 5/100)-1 = 51.25.
Hope it helps.
(1)
Satej said:
1 decade ago
What is that sum? what is the formula?
Krishna said:
1 decade ago
USED METHOD:
here they have calculated the principal from the the formula :
sum = principal in this case.
PRT/100 = S.I; re-arrange and get the principal.
Use this principal in the C.I formula to get the amount after two years.subtracting the principal from amount gives you the compound interest.
Alternative:
Find the principal from the S.I formula.
And use the formula:
S.I -C.I = p * (r/100)^2.
This one saves time and is easier to calculate.
here they have calculated the principal from the the formula :
sum = principal in this case.
PRT/100 = S.I; re-arrange and get the principal.
Use this principal in the C.I formula to get the amount after two years.subtracting the principal from amount gives you the compound interest.
Alternative:
Find the principal from the S.I formula.
And use the formula:
S.I -C.I = p * (r/100)^2.
This one saves time and is easier to calculate.
Surya said:
9 years ago
How it comes 21?
Prathap reddy said:
8 years ago
Very good @Krishna.
Shruti jha said:
7 years ago
difficult to understand
Sambasiva reddy said:
6 years ago
Difficult to understand.
Mruganshi said:
1 year ago
SI is the same every year hence for S.I. = 5%+ 5% = 10%.
For C.I = (a + b + (a*b)/100) = (5+5(25)/100) = 10.25%.
Here sum is given for S.I;
so, 10% for 50.
then 10.25% for ?
10.25 * 50/10 = 51.25.
For C.I = (a + b + (a*b)/100) = (5+5(25)/100) = 10.25%.
Here sum is given for S.I;
so, 10% for 50.
then 10.25% for ?
10.25 * 50/10 = 51.25.
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