Multiple choice

Find the difference between compound interest and simple interest on a sum of Rs.48000 at the rate of 15% per annum for three years ? तीन साल के लिए प्रति वर्ष 15% की दर से 48000 रुपये की राशि पर चक्रवृद्धि ब्याज और साधारण ब्याज के बीच अंतर ज्ञात कीजिये ?

  1. Rs. 3200

  2. Rs. 3204

  3. Rs. 3402

  4. Rs. 3202

  5. None of these इनमे से कोई नही

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

Simple Interest for 3 years at 15% on Rs. 48000: SI = P × R × T / 100 = 48000 × 15 × 3 / 100 = Rs. 21600. Compound Interest for 3 years at 15% on Rs. 48000: CI = P(1 + R/100)^T - P = 48000(1.15)³ - 48000 = 48000(1.520875) - 48000 = 73002 - 48000 = Rs. 25002 (approx). Difference = CI - SI = 25002 - 21600 = Rs. 3402. Alternatively, use the direct formula: Difference = P(R/100)²(3 + R/100) = 48000(0.15)²(3.15) = 48000 × 0.0225 × 3.15 = Rs. 3402.