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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?

Options:
A .  Rs. 6400
B .  Rs. 6500
C .  Rs. 7200
D .  Rs. 7500
E .  None of these
Answer: Option A

Let the sum invested in Scheme A be Rs. x and that in Scheme B be Rs. (13900 - x).



Then,
Mr. Thomas Invested An Amount Of Rs. 13,900 Divided In Two D...
x x 14 x 2
Mr. Thomas Invested An Amount Of Rs. 13,900 Divided In Two D...
+
Mr. Thomas Invested An Amount Of Rs. 13,900 Divided In Two D...
(13900 - x) x 11 x 2
Mr. Thomas Invested An Amount Of Rs. 13,900 Divided In Two D...
= 3508
100
100


Mr. Thomas Invested An Amount Of Rs. 13,900 Divided In Two D... 28x - 22x = 350800 - (13900 x 22)


Mr. Thomas Invested An Amount Of Rs. 13,900 Divided In Two D... 6x = 45000


Mr. Thomas Invested An Amount Of Rs. 13,900 Divided In Two D... x = 7500.


So, sum invested in Scheme B = Rs. (13900 - 7500) = Rs. 6400.


Video Explanation: https://youtu.be/Xi4kU9y6ppk


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