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Find the simple interest on Rs. 78000 at 15(2/5) % per annum for 9 months.

  • A.Rs. 7804
  • B.Rs. 8979
  • C.Rs. 8046
  • D.Rs. 9009

Answer: D

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

The rate \( 15\tfrac{2}{5}\% \) is 15.4%, and nine months is \( \tfrac{3}{4} \) of a year.

\[ \text{SI} = \frac{78000 \times 15.4 \times 0.75}{100} \]

\[ = 780 \times 15.4 \times 0.75 = 780 \times 11.55 = \text{Rs. } 9009 \]

Leaving the period as 9 rather than \( \tfrac{9}{12} \) would inflate the answer twelvefold.

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