Aptitude - Simple Interest - Discussion
Discussion Forum : Simple Interest - General Questions (Q.No. 2)
2.
Mr. Thomas invested an amount of Rs. 13,900 divided in two different schemes A and B at the simple interest rate of 14% p.a. and 11% p.a. respectively. If the total amount of simple interest earned in 2 years be Rs. 3508, what was the amount invested in Scheme B?
Answer: Option
Explanation:
Let the sum invested in Scheme A be Rs. x and that in Scheme B be Rs. (13900 - x).
| Then, |  |
x x 14 x 2 |  |
+ | |
(13900 - x) x 11 x 2 | |
= 3508 |
| 100 | 100 |
28x - 22x = 350800 - (13900 x 22)
6x = 45000
x = 7500.
So, sum invested in Scheme B = Rs. (13900 - 7500) = Rs. 6400.
Video Explanation: https://youtu.be/Xi4kU9y6ppk
Discussion:
115 comments Page 11 of 12.
Ismail khan said:
1 decade ago
pin/100 + (13900-p)in/100=3508 where p is principle
i is interest rate and n is no.of years
p(28/100)+(13900-p)22/100=3508
28p+13900*22-22p=3508*100
28p-22p+305800=350800
6p=45ooo
p=7500
13900-7500=6400
i is interest rate and n is no.of years
p(28/100)+(13900-p)22/100=3508
28p+13900*22-22p=3508*100
28p-22p+305800=350800
6p=45ooo
p=7500
13900-7500=6400
Zakir said:
1 decade ago
Good thinking.
Aditi said:
1 decade ago
C let us assume that principle invested in a is x
& b be y
total amt invested is 13900
so x+y=13900 or y=13900-x rit-----1
foorming quad eq. of simple int.
x*14*2/100 + y*11*2/100 = 3508 i=prt/100
or 28x/100+22y/100=3508
28x+22y=350800
substitution of y frm 1
28x+22(13900-x)=350800 now solve.
& b be y
total amt invested is 13900
so x+y=13900 or y=13900-x rit-----1
foorming quad eq. of simple int.
x*14*2/100 + y*11*2/100 = 3508 i=prt/100
or 28x/100+22y/100=3508
28x+22y=350800
substitution of y frm 1
28x+22(13900-x)=350800 now solve.
Anu said:
1 decade ago
In this explanation how - 22x will come can any one explain me.
Viji said:
1 decade ago
Please explain how do you get 7500 and 6400.
Pathum said:
1 decade ago
Why it has not taken X for B's principal? Then it is easy to solve without subtract again.......
Srini said:
1 decade ago
@Vinod
You cannot take 25% directly from Principal since money is divided into two parts, so that diff is there in your calculation
Now see, 7500 x 14% + 6400 x 11% in 2 years will give you 3508.
You cannot take 25% directly from Principal since money is divided into two parts, so that diff is there in your calculation
Now see, 7500 x 14% + 6400 x 11% in 2 years will give you 3508.
Heetu said:
1 decade ago
Please give me any simple way I cant understand it.
Insaan said:
1 decade ago
@ Pp depu
See, 28x/100 + (13900 - x)* 22 / 100 = 3508
= 28x/100 + 305800 - 22x /100 = 3508
take 100 lcm
28x + 305800 - 22x/100 = 3508
or 28x + 305800 - 22x = 350800
or 28x + 305800 - 22x - 350800 = 0
0r 28x - 45000 - 22x = 0
or 6x - 45000 = 0
or 6x = 45000
x = 7500
See, 28x/100 + (13900 - x)* 22 / 100 = 3508
= 28x/100 + 305800 - 22x /100 = 3508
take 100 lcm
28x + 305800 - 22x/100 = 3508
or 28x + 305800 - 22x = 350800
or 28x + 305800 - 22x - 350800 = 0
0r 28x - 45000 - 22x = 0
or 6x - 45000 = 0
or 6x = 45000
x = 7500
Anky said:
1 decade ago
Can some one explain why we took x and 13900 - x.
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