Multiple choice

An amount at 5 % compound interest for the first 2 years, followed by simple interest of 10% for the subsequent 3 years becomes Rs.25798.5. Find the initial amount. एक धनराशि पहले दो वर्षों में 5 % चक्रवृद्धि ब्याज की दर से, इसके बाद के तीन वर्षों के लिए 10% साधारण ब्याज की दर से 25798.5 रु. हो जाती है | मूल धनराशि ज्ञात कीजिये |

  1. 12000

  2. 14000

  3. 16000

  4. 18000

  5. 20000

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

Let P be the principal. After 2 years at 5% compound interest: P(1.05)^2 = P(1.1025). After 3 more years at 10% simple interest on this amount: P(1.1025) × 1.3 = P(1.43325). Given final amount is 25798.5, so P = 25798.5 / 1.43325 = 18000. Verification: 18000(1.1025) = 19845, then 19845 × 1.3 = 25798.5.