A business man invested a total of \(\# 200,000\) in two companies which paid dividends of \(5 \%\) and \(7 \%\) respectively. If he received a total of \(\# 11,600\) as dividend. how much did he invest at \(5 \%\) ?
A. #160.000 B. #140,000 C. #120,000 D. #80,000
Correct Answer: C
Explanation
Let amount invested in company \(A\) be \(x\) : then amount invested in company \(B\) would be \((200,000-x)\) for \(5 \%\) and \(7 \%\) dividend. we have \(0.05(x)+0.07(200.000-x)=11600\) \(0.05 x-0.07 x=11600-14000\) \(x=\frac{-2400}{-0.02} \cdot x=120.000\)
