Question:
Mahesh has ₹1617 with him. He divided it amongst his sons Vijay and Ajay and asked them to invest it at 10% rate of interest compounded annually. It was seen that Vijay and Ajay got same amount after 13 and 14 years respectively. How much (in ₹) did Mahesh give to Vijay?
महेश के पास ₹1617 हैं। उसने इसे अपने बेटों विजय और अजय में बाँटकर 10% वार्षिक चक्रवृद्धि ब्याज दर पर निवेश कराया। विजय और अजय को क्रमशः 13 और 14 वर्षों के बाद समान राशि प्राप्त हुई। महेश ने विजय को कितना (₹ में) दिया?
Options:
- 870
- 697
- 770
- 847
- 870
- 697
- 770
- 847
Correct Answer: (d)
Explanation:
Detailed Explanation: V(1.10)^13 = A(1.10)^14 => V = A × 1.1 = A × (11/10) => V/A = 11/10. Vijay’s share = 1617 × (11 / 21) = 77 × 11 = ₹847.
विस्तृत व्याख्या: V(1 + 10/100)^13 = A(1 + 10/100)^14 => V/A = 11/10। विजय का भाग = 1617 × (11/21) = ₹847।