Question
A and B borrow a total sum of Rs. 30,000 from C at 4%
per annum for 5 years and at 5% per annum for 4 years respectively. Find out the sum borrowed by A, if A's interest is double than that of B's interestSolution
ATQ, Let the sum borrowed by A be x and by B be y Interest paid by A = [I × A] = x × 4 × (5/100) and Interest paid by B = [I × B]= y × 5 × (4/100) Since interest paid by A is double that of B's; [I × A] = 2(I × B) => (x/5) = (2y/5) => x = 2y x + y =30000 => 2y + y = 30000 => y = 10000. Therefore, x = 20,000 Sum borrowed by A is Rs.20000
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