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Profit of Raj while selling a book to Simran is Rs. 63. Despite a discount of 23% on the book Raj manages to get 10% profit. What must be the list price of the book?

  • A.Rs. 1120
  • B.Rs. 560
  • C.Rs. 900
  • D.Rs. 750

Answer: C

Start from the profit, which is measured on the cost price.

\[ 0.10 \times \text{CP} = 63 \quad\Longrightarrow\quad \text{CP} = \text{Rs. } 630 \]

\[ \text{SP} = 630 + 63 = \text{Rs. } 693 \]

That selling price is the list price after a 23% discount:

\[ \text{LP} \times (1 - 0.23) = 693 \quad\Longrightarrow\quad \text{LP} = \frac{693}{0.77} = \text{Rs. } 900 \]

The chain runs cost → selling price → list price; jumping straight from cost to list price by combining 10% and 23% mixes the two different bases.

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