Question
Rs. (X+500) is invested in scheme A for 5 years at 10 %
simple interest. The received amount is then invested in another scheme B offering 10% interest for 2 years at compound interest. Interest received from scheme B was Rs.3780. Find the value of X.Solution
SI = (X + 500) × 50/100 =  (X + 500)/2 Amount = (x + 500) + {(X + 500)/2} = 3/2 × (X + 500) CI = 3780 So, 3/2 × (X + 500) × 21/100 = 3780 X + 500 = (3780 × 100 × 2)/(21 × 3) = 12000 X = 12000 – 500 = Rs. 11500
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