Question:
Vijay has ₹1224 with him. He divided it amongst his sons Ajay and Prakash and asked them to invest it at 4% rate of interest compounded annually. It was seen that Ajay and Prakash got same amount after 18 and 19 years respectively. How much (in ₹) did Vijay give to Prakash?
विजय के पास ₹1224 हैं। उसने इसे अपने बेटों अजय और प्रकाश में बाँटा और 4% वार्षिक चक्रवृद्धि ब्याज पर निवेश करने को कहा। अजय और प्रकाश को क्रमशः 18 और 19 वर्षों के बाद समान राशि मिली। विजय ने प्रकाश को कितना (₹ में) दिया?
Options:
- 450
- 724
- 624
- 600
- 450
- 724
- 624
- 600
Correct Answer: (d)
Explanation:
Detailed Explanation: A(1 + 0.04)^18 = P(1 + 0.04)^19 => A = P × (1.04) = P × (26/25) => A/P = 26/25. Prakash’s share = 1224 × (25 / 51) = 24 × 25 = ₹600.
विस्तृत व्याख्या: A(1 + 4/100)^18 = P(1 + 4/100)^19 => A/P = 26/25। प्रकाश का भाग = 1224 × 25/51 = ₹600।