Multiple choice

Deepak has Rs.12615 a part of which he gave to Puneet for 6 years and remaining to Shashank for 8 years, at 5% rate of interest compounded annually. If both Puneet and Shashank gave him same amount at the end of their duration. Find the share of Shashank and Puneet respectively. दीपक के पास 12615 रू हैं जिसका कुछ भाग वह पुनीत को 6 वर्षो के लिए और शेष भाग शशांक को 8 वर्षो के लिए 5% चक्रवृद्धि ब्याज की वार्षिक दर पर देता हैं। यदि पुनीत और शशांक समय अवधि पूरी होने पर सामान धनराशि वापस करते हैं तो शशांक और पुनीत का क्रमश: हिस्सा ज्ञात कीजिये?

  1. 6615,6000

  2. 6200,6415

  3. 6400,6215

  4. 6415,6200

  5. 6000,6615
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E Correct answer
Explanation

Let Puneet's share be x and Shashank's share be (12615 - x). Both receive same final amount at 5% CI: x(1.05)⁶ = (12615 - x)(1.05)⁸. Dividing by (1.05)⁶: x = (12615 - x)(1.05)² = (12615 - x)(1.1025). Solving: x = 12615 × 1.1025 - 1.1025x, giving 2.1025x = 13901.14, so x = 6615 and Shashank's share = 12615 - 6615 = 6000.

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