Question
A person borrowed Rs. 'A' at a simple interest of 15%
per annum for 4 years and Rs.'B' at a simple interest of 8% per annum for 4 years. If he had borrowed Rs.(A+B) at a simple interest of 12% for 4 years, he would have paid the same interest. Find the ratio of A and B.Solution
ATQ, Simple interest on Rs.A = {(A×15×4)/100} = 3A/5 Simple interest on Rs.B = (B×8×4)/100 = 8B/25 Simple interest on Rs.(A+B) = {(A+B)×12×4}/100 = 48/100(A+B) = 12/25(A+B) Equating both sides: 
Multiply by 25 to clear the fraction:- 15A + 8B = 12A + 12B Rearrange and solve for the ratio:- 
A : B = 4:3
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