₹1800 became ₹2178 in certain time at rate of 10% per annum compounded annually the time is
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Interest is compounded annually,
So amount, A=P(1+ 100r) t
Where,
P is Principal (or sum)
t is time (in years)
A is the amount, person will get after time t
r is rate of interest per annum
Here,
A=2178
P=1800
t=?
r=10%
Now apply the formula,
⇒A=P(1+ r/100) t
⇒2178=1800(1+10/100)t
⇒ 1800/2178 =( 100/110) t
⇒ 100/121=(10/11)t
⇒(10/11)²=( 10/11) t
⇒t=2 years
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