Discussion
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?
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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