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What is simple interest of ₹7,200 at \(5\tfrac{1}{3}\)% per annum for 6 months?

  • A.₹176
  • B.₹184
  • C.₹192
  • D.₹202.50

Answer: C

Simple interest is the principal times the rate times the time in years. The rate is 5 1/3 per cent, which is 16/3 per cent, and 6 months is half a year.

\[ SI = 7200 \times \frac{16}{300} \times \frac{1}{2} \]

\[ SI = 72 \times \frac{16}{3} \times \frac{1}{2} \] \[ SI = 24 \times 16 \times \frac{1}{2} = 192 \]

The simple interest is 192 rupees. The value 176 would be for a lower rate, and 202.50 or 184 do not result. The answer is 192 rupees, option C.

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