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?
[A].
Rs. 6400
[B].
Rs. 6500
[C].
Rs. 7200
[D].
Rs. 7500
[E].
None of these
Answer: Option B
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.
Suppose total simple interest of A & B is 13900*25%(14%+11%) =3475, but in problem total interest for 2 years is 3508, difference amount is Rs.33/-,can some one explain me, why this differnce has come ?
Pp Depu said:
(Thu, Feb 17, 2011 07:37:10 AM)
Can some one plese explain me the 2nd step 28X-22X = 350800 - (13900x22) how it came?
Anky said:
(Mon, Feb 28, 2011 07:57:26 AM)
Can some one explain why we took x and 13900 - x.
Insaan said:
(Mon, Mar 7, 2011 01:57:37 AM)
@ 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
Heetu said:
(Sun, May 22, 2011 07:10:00 AM)
Please give me any simple way I cant understand it.
Srini said:
(Thu, Jun 2, 2011 08:07:34 PM)
@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.
Pathum said:
(Sat, Jun 4, 2011 06:12:14 AM)
Why it has not taken X for B's principal? Then it is easy to solve without subtract again.......
Viji said:
(Sat, Jul 9, 2011 05:34:34 AM)
Please explain how do you get 7500 and 6400.
Anu said:
(Sat, Sep 24, 2011 08:41:57 PM)
In this explanation how - 22x will come can any one explain me.
Aditi said:
(Sat, Nov 12, 2011 03:50:59 PM)
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.
28x - 22x = 350800 - (13900 x 22)