Question

the compound intrest on ₹1800 at 10% per annum for a certain period is ₹378 find the time

Answer 1

Formula to find year when C.I. is given


C.I.=P(1+r/100)ⁿ-1

According to question
C.I.=378
P=1800
rate=10%


378=1800(1+10/100)ⁿ-1
378/1800=(110/100)

Reduce 378/1800 to THEIR simplest for
THEN,it will come. 21/100



21/100=(110/100)ⁿ-1
21/100+1=(110/100)ⁿ
121/100=(11/10)ⁿ
(11/10)²=(11/10)ⁿ
2=n


Year =2