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After deducting a commission of 5%, a TV set costs Rs. 9595. Its marked price is

  • A.Rs. 10000
  • B.Rs. 10074.75
  • C.Rs. 10100
  • D.Rs. 12000

Answer: C

The commission is deducted from the marked price, so the Rs. 9595 is 95% of it.

\[ \text{MP} \times (1 - 0.05) = 9595 \]

\[ \text{MP} = \frac{9595}{0.95} = \text{Rs. } 10100 \]

Checking: 5% of 10100 is 505, and \( 10100 - 505 = 9595 \).

Adding 5% to Rs. 9595 gives Rs. 10,074.75, which is not the answer - a percentage taken off a larger base cannot be undone by adding the same percentage to the smaller one.

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