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?Choices:- Rs. 8400 Rs. 7400 Rs. 6400 Rs. 6200
Question
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?Choices:- Rs. 8400 Rs. 7400 Rs. 6400 Rs. 6200
Solution
Let's denote the amount invested in scheme A as x and the amount invested in scheme B as 13900 - x.
According to the problem, the total interest from both schemes after 2 years is Rs. 3508. We can express this as an equation:
2*(14/100)x + 2(11/100)*(13900 - x) = 3508
Solving this equation will give us the value of x, which represents the amount invested in scheme A. Subtracting x from the total investment of Rs. 13900 will give us the amount invested in scheme B.
Let's solve the equation:
First, simplify the equation:
0.28x + 305.8 - 0.22x = 3508
Combine like terms:
0.06x + 305.8 = 3508
Subtract 305.8 from both sides:
0.06x = 3202.2
Divide both sides by 0.06 to solve for x:
x = 3202.2 / 0.06
x = 53370
This value is not possible because the total investment is Rs. 13900. There seems to be a mistake in the problem or the choices given. The amount invested in scheme A or B cannot be more than the total investment of Rs. 13900.
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