Let time = n years Show P = Rs.1800 A = Rs.2178 R = 10% per annum Now, Amount (A) = P (1 + R/100)n [Where, A = Amount with compound interest P = Present value R = Annual interest rate n = Time in years] ∴ A = P (1 + R/100)n ⇒ 2178 = 1800 (1 + 10/100)n ⇒ (1 + 1/10)n = 2178/1800 ⇒ (11/10)n = 121/100 ⇒ (11/10)n = (11/10)2 ⇒ n = 2 ∴ Time = 2 years.
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