25 Aseem was asked to divide Rs 15,600 into two parts such that the interest on one part at 5% per annum for 5 years may be equal to that on the other at for 6 years. How was the money divided?
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Answer: Rs 8,100 and Rs 7,500
Step-by-step explanation:
Let the parts be RsA;Rs15,600−A Simple Interest I= PNR/100 For the first situation, Given, P=RsA N=5years R=5 % So, =>I= PNR/100 =>I 1 = 100 A×5×5 =>I 1 = 100 25A For the second situation, Given, P=Rs15,600−A N=6years R= 2 9 % So, =>I= 100 PNR =>I 2 = 100 (15,600−A)×6× 2 9 =>I 2 = 100 (15,600−A)×27 Given, I 1 =I 2 => 100 25A = 100 (15,600−A)×27 25A=(15,600−A)×27 25A=421200−27A =>52A=421200 =>A=Rs8,100 And other part =Rs15,600−Rs8,100=Rs7,500
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