Let the investment in scheme A be Rs.x
Then the investment in scheme = Rs.(15000-x)
Compound interest for Rs.x = P(1+R100)T−P=x(1+5100)2−xCompound interest for Rs. (15000-x) = P(1+R100)T−P=(15000−x)(1+10100)2−(15000−x)Total compound interest = x(1+5100)2−x+(15000−x)(1+10100)2−(15000−x)=x(1+10100+2510000)−x+(15000−x)(1+20100+10010000)−(15000−x)=x(10100+2510000)+(15000−x)(20100+10010000)=1025x10000+(15000−x)(210010000)=1025x10000+15000×210010000−2100x10000=−1075x10000+3150Compound interest for Rs.x = P(1+R100)T−P=x(1+5100)2−xCompound interest for Rs. (15000-x) = P(1+R100)T−P=(15000−x)(1+10100)2−(15000−x)Total compound interest = x(1+5100)2−x+(15000−x)(1+10100)2−(15000−x)=x(1+10100+2510000)−x+(15000−x)(1+20100+10010000)−(15000−x)=x(10100+2510000)+(15000−x)(20100+10010000)=1025x10000+(15000−x)(210010000)=1025x10000+15000×210010000−2100x10000=−1075x10000+3150
Given that total compound interest = Rs. 2075
−1075x10000+3150=2075=>1075x10000=1075=>x10000=1=>x=10000−1075x10000+3150=2075=>1075x10000=1075=>x10000=1=>x=10000
i.e, Amount invested in Scheme A = Rs. 10000