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Aman got a salary of Rs. 8600. The salary was invested by him in two parts. Find the difference between the two parts of his salary, if in first part he got some simple interest at 15% per annum in 4 years, which was same as the second part which he invested at 20% for 3 years.

  • A.Rs. 0
  • B.Rs. 2400
  • C.Rs. 100
  • D.Rs. 4500

Answer: A

\[ \text{SI} = \frac{P \times R \times T}{100} \]

Set the two interests equal and see what it forces.

\[ \frac{p_{1} \times 15 \times 4}{100} = \frac{p_{2} \times 20 \times 3}{100} \]

\[ 0.6\,p_{1} = 0.6\,p_{2} \quad\Longrightarrow\quad p_{1} = p_{2} \]

\[ \text{difference} = \text{Rs. } 0 \]

Both products \( R \times T \) come to 60, so the two schemes are identical and the salary splits exactly in half - Rs. 4300 each.

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