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Manav invested Rs. X in Scheme A that offers simple interest at 25% per annum. After two years, he withdrew all his money and invested 80% of it in Scheme B that offers compound interest at 20% per annum for another two years. If the difference between the interest obtained from both schemes is Rs. 700, find the value of X.
- Rs. 20000
- Rs. 25000
- Rs. 15000
- Rs. 30000
Correct answer: Rs. 25000
Solution
Interest from Scheme A for 2 years at 25% simple interest is \(0.5X\). The amount after 2 years is \(1.5X\), and 80% of this, i.e. \(1.2X\), is invested in Scheme B. Compound interest for 2 years at 20% on \(1.2X\) is \(1.2X \times (1.44-1)=0.528X\). The difference is \(0.528X-0.5X=0.028X=700\), so \(X=25000\).
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