Question
Rohit borrowed Rs. 15,000 from his friend at compound
interest of 20% p.a., compounding annually. He added Rs. 'X' to this money and lent the total sum to Suresh at simple interest of 10% p.a. for 2 years. If total profit earned by Rohit at the end of 2 years is Rs. 1,200, then find the value of 'X'.Solution
Interest to be paid by Rohit = 15000 × {(1.2)² − 1} = Rs. 6,600 So, interest earned by Rohit = 6600 + 1200 = Rs. 7,800 So, 7800 = {(X + 15000) × 10 × 2} ÷ 100 Or, 78000 = 2X + 30000 Or, 2X = 48000 So, X = 24000
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