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Rs. 3000 is invested in two parts. The first part at 6% p.a. and the second part at 5% p.a. and obtained a simple interest of Rs. 160 in a year. How much is invested at 6% p.a.?

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Rs. 2000

Rs. 1000

Rs. 1500

Rs. 1200

answer is B.

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Detailed Solution

$\begin{array}{l} x \times 0.06 + (3000 - x) \times 0.05 = 160 \\ 0.06 x - 0.05 x + 150 = 160 \\ 0.01 x = 10 \\ x = \frac{10}{0.01} \\ x = \frac{10}{\frac{1}{100}} \\ x = 1000 \end{array}$

Another Way:

$\begin{array}{l} 1 : 2 \\ \frac{1}{3} \times 3000 = 1000 \end{array}$

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