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The compound interest on Rs. 1800 at 10% per annum for a certain period of timeos Rs. 378. Find the time in years.

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Best answer

Given, 

Compound interest = Rs.375 

Principal = Rs.1800 

Rate = 10% p.a 

Let time = T years 

So,

= compound interest \(={P}[({1}+\frac{R}{100})^T-1]\)

\(= 1800[({1}+\frac{10}{100})^T-1]\) = 378

\(= 1800\times(\frac{11}{10})^T\) = 378 +1800 = 2178

\(=(\frac{11}{10})^T\) \(=\frac{2178}{1800}\) \(=\frac{726}{600}\) \(=\frac{121}{100}\) \(=(\frac{11}{10})^2\)

= T = 2 years

Hence. 

Time = 2 years

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