A sum of Rs. 55000 is divided into two parts and invested at 4% for 3 years and at 5% p.a. for 6 years respectively. If interest earned on the second part is three times of that on the first part, find the amount invested in the second part?
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Rs. 40,000
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Rs. 15, 000
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Rs. 30,000
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Rs. 25, 000
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Rs. 20, 000
C
Correct answer
Explanation
Let the amounts be x and (55000 - x). SI1 = x × 4 × 3 / 100 = 12x/100. SI2 = (55000 - x) × 5 × 6 / 100 = 30(55000 - x)/100. Given SI2 = 3 × SI1: 30(55000 - x)/100 = 3 × 12x/100 = 36x/100. Therefore: 1650000 - 30x = 36x, so 66x = 1650000, x = 25000. Second part = 55000 - 25000 = 30000. The calculation confirms option C is correct.