Aptitude - Simple Interest - Discussion
Discussion Forum : Simple Interest - General Questions (Q.No. 8)
8.
A lent Rs. 5000 to B for 2 years and Rs. 3000 to C for 4 years on simple interest at the same rate of interest and received Rs. 2200 in all from both of them as interest. The rate of interest per annum is:
Answer: Option
Explanation:
Let the rate be R% p.a.
Then, | ![]() |
5000 x R x 2 | ![]() |
+ | ![]() |
3000 x R x 4 | ![]() |
= 2200. |
100 | 100 |
100R + 120R = 2200
![]() |
![]() |
2200 | ![]() |
= 10. |
220 |
Rate = 10%.
Discussion:
21 comments Page 1 of 3.
Priya said:
1 decade ago
How do you know when to use the right formulas?
Thiru said:
1 decade ago
Hey its the formula of CP.
Kuldeep singh said:
1 decade ago
From where this 120R came. Please some one tell me.
MAHESH KUMAR SANKA said:
1 decade ago
@Kuldeep Singh
(3000*r*4)/100=120R
once check it out.
@Thiru
This is the formulae of Simple interest only (i=(p*t*r)/100).
(3000*r*4)/100=120R
once check it out.
@Thiru
This is the formulae of Simple interest only (i=(p*t*r)/100).
Vineesh said:
1 decade ago
@priya there is only one formula for simple interest. You can easily use it always just by interchanging terms.
Shrikanth Duppada said:
1 decade ago
Lets assume that rate % = x.
(If you have taken 5000 on 1% then S.I per year = 50 Rs (1 Rs for 100 then 50 hundreds so 50x100(5000)=50 Rs, if 50 per single year so for 2 years it would be 100)(Similarly for 3000).
Then S.I on 5000 for 2 years = 100x.
Then S.I on 3n000 for 4 years = 120x.
From the problem 100x+120x = 2200.
Then 220x = 2200.
x=10.
I hope this is clear.
(If you have taken 5000 on 1% then S.I per year = 50 Rs (1 Rs for 100 then 50 hundreds so 50x100(5000)=50 Rs, if 50 per single year so for 2 years it would be 100)(Similarly for 3000).
Then S.I on 5000 for 2 years = 100x.
Then S.I on 3n000 for 4 years = 120x.
From the problem 100x+120x = 2200.
Then 220x = 2200.
x=10.
I hope this is clear.
Saji said:
1 decade ago
@Srikanth, very good explanation. I expect such shortcut method from the discussion part keep doing the same.
Arun said:
1 decade ago
By Using SI = (PRT/100).
Nishant said:
1 decade ago
@Priya.
r*5000*2/100 + r*3000*4/100 = 2200.
And then take L.C.M.
r*10000+r*12000 = 220000.
10000r+12000r = 220000.
22000r = 220000.
r = 220000/22000.
r =10.
r*5000*2/100 + r*3000*4/100 = 2200.
And then take L.C.M.
r*10000+r*12000 = 220000.
10000r+12000r = 220000.
22000r = 220000.
r = 220000/22000.
r =10.
Priya kuldeep said:
1 decade ago
@Nishant.
You are doing it in a lengthy manner.
You are doing it in a lengthy manner.
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