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Marked price of a TV is 20% more than its cost price. Yet Ajay gives a discount of 30% while selling the TV.  How much per cent loss did he incur?

  • A.10%
  • B.16%
  • C.5%
  • D.50%

Answer: B

Take the cost price as 100, so the marked price is 120.

\[ \text{SP} = 120 \times (1 - 0.30) = 120 \times 0.70 = 84 \]

\[ \text{loss} = 100 - 84 = 16 \quad\Longrightarrow\quad \text{loss}\% = \frac{16}{100} \times 100 = 16\% \]

Loss percentage is always measured against the cost price, not the marked price. Against the marked price the fall would read \( \tfrac{36}{120} = 30\% \), which is just the discount again.

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