Divide Rs2500 into 2 parts such that the simple interest on one at 4% per annum for 5 years is double that on
the other at 5% per annum for 3 years.
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Answer:
Let one part is = Rs x
them other part is = Rs (2500 – x)
simple interest (S1) on first part is,
s1= x×4×5/100=x/5
and simple interest (S2) on second part is,
s2=15(2500-x)/100
According to question -
x/5= 2× s2
x/5= 2× 15 (2500-x)/100
50x/5= 15(2500-x)
10x= -15x+15×2500
25x= 15×2500
x=15×100
x=1500
Hence one part is Rs 1500 and so other part is Rs 1000.
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