Multiple choice

Sita deposited 5,000 at 10% simple interest for 2 years. At C.I. how much more money will Sita have in her account at the end of two years, if it is compounded semi-annually. सीता ने 2 वर्ष के लिए 10% साधारण ब्याज पर 5,000 जमा किए। चक्रवृद्धि ब्याज पर सीता के खाते में दो वर्षों के अंत में कितनी अधिक धनराशि होगी, यदि दर अर्ध-वार्षिक रूप से संयोजित होती है.

  1. 50

  2. 40

  3. 77.50

  4. 85.50

  5. 55

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Simple Interest for 2 years at 10%: SI = P × R × T / 100 = 5000 × 10 × 2 / 100 = Rs 1000. Amount with SI = 5000 + 1000 = Rs 6000. Compound Interest (semi-annually): Rate per period = 10/2 = 5%, Number of periods = 2 × 2 = 4. Amount = P(1 + r/100)^n = 5000(1.05)^4 = 5000 × 1.2155 = Rs 6077.50. Difference = CI Amount - SI Amount = 6077.50 - 6000 = Rs 77.50. This matches option C.