Multiple choice

Find the compound interest on a sum of Rs. 3072 invested in a bank at a compound interest of 6.25%compounded annually for a time period of 2 years and 8 months वार्षिक आधार पर नियोजित 6.25% वार्षिक चक्रवृद्धि ब्याज की दर से एक बैंक में निवेशित रू. 3072 की धनराशि पर 2 वर्ष तथा 8 माह चक्रवृद्धि ब्याज ज्ञात कीजिए।

  1. 540.5

  2. 640.5

  3. 440.5

  4. 390.5

  5. None of these इनमें से कोई नहीं
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A Correct answer
Explanation

Principal = 3072, Rate = 6.25% = 1/16. Time = 2 years 8 months = 2 + 8/12 = 2 + 2/3 years. CI for 2 years = 3072 * [(1 + 1/16)² - 1] = 3072 * [(17/16)² - 1] = 3072 * [289/256 - 1] = 3072 * 33/256 = 396. For remaining 8 months = 2/3 years: CI = (3072 + 396) * (1/16) * (2/3) = 3468/24 = 144.5. Total CI = 396 + 144.5 = 540.5.

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