Multiple choice

What will be the difference between the simple interest and compound interest earned on a sum of Rs 985 @ 14 p.c.p.a at the end of two years ? एक 985 रू. की धनराशि का 14 प्रतिशत प्रति वर्ष की दर से दो वर्ष के अन्त में साधारण ब्याज और चक्रवृद्धि ब्याज का अन्तर क्या होगा?

  1. 16.408

  2. 19.306

  3. 14.218

  4. 17.405

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

Simple Interest = Prt/100 = 985 × 14 × 2/100 = Rs 275.80. Compound Interest = P[(1+r/100)² - 1] = 985[(1.14)² - 1] = 985[1.2996 - 1] = 985 × 0.2996 = Rs 295.106. The difference is 295.106 - 275.80 = 19.306. The difference between CI and SI for 2 years can also be calculated directly as P(r/100)² = 985(0.14)² = 985 × 0.0196 = 19.306.