Multiple choice

What is the difference (in Rs.) between the interests on Rs. 50,000 for one year at 8% per annum compounded half yearly and yearly? 50000 की धनराशि के लिए 8% वार्षिक व्याज की दर पर अर्धवार्षिक रूप से चक्र्वृधि होने वाले और वार्षिक रूप से चक्रवृधि होने वाले एक वर्ष के व्याज के बीच अंतर (रूपये में) है?

  1. 80

  2. 50

  3. 70

  4. 100

  5. 85
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A Correct answer
Explanation

For Rs 50,000 at 8% p.a. for 1 year: Yearly compounding gives interest = 50,000 × 0.08 = Rs 4,000. Half-yearly compounding: rate = 4%, 2 periods, amount = 50,000 × 1.04² = 54,080, interest = Rs 4,080. Difference = 4,080 - 4,000 = Rs 80.

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