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Rs. 12000 was invested for 2 years, partly in scheme A at the rate of 5% SI per annum and partly in scheme B at the rate of 8% SI per annum. The total interest received at the end was Rs.1800. What amount of money was invested in scheme A ?
  • a)
    2000
  • b)
    1600
  • c)
    3200
  • d)
    4200
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Rs. 12000 was invested for 2 years, partly in scheme A at the rate of ...
Answer –a) 2000 Solution: x *5*2/100 + (12000-x)*2*8/100 = 1800 x/10 + 192000-16x/100 = 1800 10x+192000-16x=180000 6x = 12,000 X=2000
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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.
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Rs. 12000 was invested for 2 years, partly in scheme A at the rate of 5% SI per annum and partly in scheme B at the rate of 8% SI per annum. The total interest received at the end was Rs.1800. What amount of money was invested in scheme A ?a)2000b)1600c)3200d)4200Correct answer is option 'A'. Can you explain this answer?
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