A certain sum of money amounts to Rs.5292 in two years and Rs. 5556.60 in three years, interest being compounded annually. Find the rate percent and original principal at beginning.
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Step-by-step explanation:
Sum after 2 years=Rs.5292
Sum after 3 years =Rs.5556.60
Interest for onr year =5556.60−5292=Rs.264.60
C.I for 1 year=S.I for 1 year
Interest= 100 PRT
⇒264.60= 100 5292×R×1
⇒R= 5292 264.60×100 =5%
Let the sum=Rs. x
Amount =Rs.5292, Time 2 years, R=5%
Amount=P(1+ 100 R ) t
⇒5292=x(1+ 100 5 ) 2
⇒5292=x× 100 105 × 100 105
⇒x= 105×105
5292×100×100
=Rs.4800
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