Rs. 12000 was invested for 2 years, partly in scheme A at the rate of ...
Given:
Amount invested = Rs. 12000
Time period = 2 years
Total interest received = Rs. 1800
Let x be the amount invested in scheme A and y be the amount invested in scheme B.
Then, the sum of the amounts invested in both schemes will be:
x + y = Rs. 12000
Calculating the interest earned from each scheme:
Interest from scheme A = (x * 5% * 2) = 0.1x
Interest from scheme B = (y * 8% * 2) = 0.16y
Given that the total interest received is Rs. 1800:
0.1x + 0.16y = Rs. 1800
Simplifying the equations:
x + y = 12000 (Equation 1)
0.1x + 0.16y = 1800 (Equation 2)
Multiplying Equation 2 by 100 to eliminate decimals:
10x + 16y = 180000 (Equation 3)
Multiplying Equation 1 by 10:
10x + 10y = 120000 (Equation 4)
Subtracting Equation 4 from Equation 3:
10x + 16y - (10x + 10y) = 180000 - 120000
6y = 60000
y = 10000
Substituting the value of y in Equation 1:
x + 10000 = 12000
x = 2000
Therefore, the amount invested in scheme A is Rs. 2000.