Multiple choice

Rs. 15000 were invested for 5 years in Scheme A which offeres simple interest the rate of 14% p.a. The amount received after 5 years and some additional money , is then invested in Scheme B , for 2 years , which offers compound interest ( compounded annually ) at the rate of 20% p.a. If the compound interest received from Scheme B after 2 years is Rs. 14080 . What was the additional amount invested in Scheme B apart from the amount from Scheme A ?

  1. 4500

  2. 5500

  3. 5000

  4. 6500

  5. 7000
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Scheme A से प्राप्त राशि = 15000 + (15000 × 14% × 5) = 15000 + 10500 = 25500। Scheme B में मूलधन P और चक्रवृद्धि ब्याज 2 वर्षों के लिए 20% वार्षिक दर से = 14080। चक्रवृद्धि ब्याज सूत्र से: P × (1.20)^2 - P = 14080 → P × 1.44 - P = 14080 → 0.44P = 14080 → P = 32000। अतिरिक्त राशि = 32000 - 25500 = 6500। यह एक दो-चरण ब्याज गणना समस्या है जिसमें पहले साधारण ब्याज फिर चक्रवृद्धि ब्याज की गणना करनी होती है।

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