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:
5%
7%
7 1 %
8
10%
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

R = 2200 = 10.
220

Rate = 10%.

Discussion:
21 comments Page 1 of 3.

RaMan said:   3 years ago
In 3000, 1percent in 4yrs is 120.
In 5000, 1percnt in 2 yrs is 100.
Total interest 1 per cent is 220.
220 is 1 percent is then what is the 2200 percent is 10%.
(13)

Francis said:   6 years ago
We subtract 5000-3000=2000.
We get 2000,
In this shows that si 2200 from both,
So 2000*10% = 200+2000 = 2200.
We can understand that 10 % will be the rate of interest.
(9)

Nagesh N said:   7 years ago
According to %change=(Difference/ initial value)*100.

Similarly (5000-3000)=2000.

((2200-2000)/2000)*100=(200/2000)*100 = 10%.
(3)

K. Haritha said:   7 years ago
5000*2*r/100+3000*4*r/100=2200,
100r+120r=220r,
220r=2200,
10.
(1)

Adil Shaikh said:   8 years ago
Hi,

Thanks everyone for giving such good explanation.

Anil said:   8 years ago
Friends use backward method through options
take 10%.

10% of 5000 is 500 (for 1 year)
For 2 years 500*2 = 1000.
10% of 3000 is 300(for 1 year)
For 4 years 300*4 = 1200.

Add both interests 1000+1200 = 2200.

Kumar said:   8 years ago
5000 * 2 = 10000
3000 * 4 = 12000
------------------------
= 22000

R%= 2200 * 100/22000 * 1 = 10.
(6)

Likith said:   9 years ago
Guys, it easy.

5000-B-2yrs
3000-c-4yrs.

The rate of interest same(data).
Finally, the lender gets total 2200 as interest. (use some logic).

Assume B pays x amount of interest,
It means c pays x - 2200.

x =(5000 * 2 * R)/100 (B DATA).
X - 2200 = (3000 * 4 * R)/100 *C DATA.

SOLVE ABOVE 2 EQUATIONS, YOU Will GET 10% RATE OF INTEREST.

Anand J said:   9 years ago
In question A, B and C are given. I thought there were 3 members, I tried for 3 members. Then what is "A". Is A first person or sentence formation? Please explain.

Mohit said:   9 years ago
2200/200, 220 how come?


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