Question

A certain sum amounts to * 21600 in 2 years and * 31104 in 4 years at the same rate compounded annually. Find the rate and the sum. ​

Answer 1

Step-by-step explanation:

sum after 2 years =5292

sum after 3 years =5556.60

intrest for 1 year =5556.60-5292 = 264.60

C.I for 1 year = SI for 1year

interst==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 = Xx

100

105

×

100

105

=

105×105

5292 ×100×100

= 4800