a sum of money becomes twice in 4 years at simple interest at same interest rate in how much time it will be 5 times
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take sum of money be X
so time = 4
si and principal is not given find out that
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Let,Principal=Rs.100%Amount=Rs.200Rate=r%Time=4yearsNow,A=P×[1+(r100)]n200=100×[1+(r100)]42=[1+(r100)]4−−−−−−(i)Ifsumbecome8timesinthetimenyearsthen,8=(1+(r100))n23=(1+(r100))n−−−−−−(ii)Usingeqn(i)in(ii),weget([1+(r100)]4)3=(1+(r100))n[1+(r100)]12=(1+(r100))nThus,n=12years.
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