Nitin has ₹1617 with him.
Nitin has ₹1617 with him. He divided it amongst his sons Pravin and Rishi and asked them to invest it at 10% rate of interest compounded annually. It was seen that Pravin and Rishi got same amount after 17 and 18 years respectively. How much (in ₹) did Nitin give to Pravin?
नितिन के पास ₹ 1617 है। उसने इसे अपने पुत्रों प्रवीण और ऋषि के बीच बांट दिया तथा उन्हें इसे वार्षिक रूप से चक्रवृद्धि होने वाले 10% ब्याज दर पर निवेश करने को कहा। यह देखा गया कि प्रवीण और ऋषि को क्रमशः 17 और 18 वर्ष बाद समान धनराशि प्राप्त हुई। नितिन ने प्रवीण को कितनी धनराशि (₹ में) दी थी?
Detailed Solution & Logic
847
Simple Solution:
Let Pravin get = ₹x
Then Rishi gets = ₹1617 − x
Rate = 10% p.a.
Final amounts equal:
$ x(1.1)^{17} = (1617 - x)(1.1)^{18} $
Divide by $(1.1)^{17}$:
$ x = (1617 - x)(1.1) $
$ x = 1778.7 - 1.1x $
$ 2.1x = 1778.7 $
$ x = 847 $
Answer= ₹847
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