Multiple choice

Sum of money is invested in Scheme A, 12% per annum, After 2 years amount is received, that amount invested in scheme B at 10% per annum for compound interest. If the interest received at the end of 2 years is 5208. Find the sum? राशि का निवेश योजना A में 12% प्रतिवर्ष किया जाता है, 2 वर्ष की राशि प्राप्त होने के बाद, योजना B में 10% प्रति वर्ष चक्रवृद्धि ब्याज के लिए निवेश की गई । यदि 2 वर्ष के अंत में प्राप्त ब्याज 5208 है। राशि ज्ञात कीजिए?

  1. 20000

  2. 16000

  3. 15680

  4. 24580

  5. 22650
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A Correct answer
Explanation

Let sum be P. After 2 years at 12% SI: amount = P(1 + 0.12×2) = 1.24P. This is invested at 10% CI for 2 years: maturity = 1.24P(1.1)² = 1.24P × 1.21 = 1.5004P. Interest = 1.5004P - 1.24P = 0.2604P = 5208. So P = 5208/0.2604 = 20000. The key is tracking principal through both investment stages.

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