Multiple choice

A sum of money was invested for 12 years was in Scheme A which offers simple interest at a rate of 8 % p.a. The amount received from Scheme A after 12 years was then invested for two years in Scheme B which offers compound interest at a rate of 20% p.a. If the amount received from Scheme B was Rs. 23708.16, what was the sum invested in Scheme A? (in Rs.) 12 वर्षों के लिए एक धन की राशि योजना A में निवेश की गयी जोकि 8% वार्षिक की दर से साधारण ब्याज प्रदान करती है| 12 वर्षों के बाद योजना A से प्राप्त राशि को स्कीम B में दो वर्षों के लिए निवेश की गयी जो 20% वार्षिक ब्याज की दर से चक्रवृद्धि ब्याज प्रदान करती है। यदि स्कीम B से प्राप्त राशि 23708.16 रुपए थी तो योजना A में निवेशित धनराशि कितनी थी? (रुपये में)

  1. 7500

  2. 8400

  3. 12000

  4. 9000

  5. 10000

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

Let P be principal in Scheme A. After 12 years at 8% SI: Amount = P + (P × 8 × 12)/100 = P + 0.96P = 1.96P. This is invested in Scheme B at 20% CI for 2 years: Amount = 1.96P × (1.20)² = 1.96P × 1.44 = 2.8224P = 23708.16. So P = 23708.16 ÷ 2.8224 = 8400. Option B is correct.