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4000 was divided into two parts such a way that when first part was invested at 3% and the second at 5%, the whole annual interest from both the investments is Rs.144, how much was put at 3%?

  • A.Rs.2500
  • B.Rs.2700
  • C.Rs.2800
  • D.Rs.5000

Answer: C

Let \( p \) be the part at 3%; the rest, \( 4000 - p \), earns 5%.

\[ 0.03p + 0.05(4000 - p) = 144 \]

\[ 0.03p + 200 - 0.05p = 144 \quad\Longrightarrow\quad -0.02p = -56 \]

\[ p = \text{Rs. } 2800 \]

Checking: Rs. 84 from the 3% part and Rs. 60 from the Rs. 1200 at 5%.

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