a certain sum of money amounts to Rs600 in two years and Rs700 in 4years at certain rate of interest find the rate of interest
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Let us consider as I as simple interest in one year and N is number of years, so the formula is Aₙ=[p+n×I]
Step-by-step explanation:
so⇒A₂=600 and A₄=700
A₄=p+4I⇒1 equation
A₂=p+2I⇒2 equation
so when we subtract 2-1 we get 100=2I
so I =100/2=50
so let us substitute I=50 in 2nd equation
we get A₂=p+2I
600=p+2×50
⇒ 600=p+100
p=600-100=500
rate of interest is 50/500×100=10%
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