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ExamsIBPS POGeneral Awareness

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.

  1. Rs. 20000
  2. Rs. 25000
  3. Rs. 15000
  4. 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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