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Arunavo invested total sum of Rs. 16000 in two schemes (A and B) for two years. Scheme A offers compound interest (compounded annually) at…

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Arunavo invested total sum of Rs. 16000 in two schemes (A and B) for two years. Scheme A offers compound interest (compounded annually) at the rate of 10% per annum and scheme B offers simple interest at the rate of 12% per annum. If the total interest earned by him from both the schemes after two years is Rs. 3504. How much money (principle) did he invest in scheme B?
  • ARs. 4800
  • BRs. 4200
  • CRs. 4600
  • DRs. 4400
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Solution
Let x be the amount invested in scheme A and y be amount invested in amount invested in scheme B.

x+y = 16,000

(x(1+.1)^2 - x) + y*2*0.12 = 3504

0.21x + 0.24y = 3504


Solving the above equation we get,

x = 11,200

y = 4800

He invested Rs.4800 in scheme B.