Discussion
If a book costs Rs. 900 and is sold with a profit of 10% and discount of 12% then, the advertised price is?
Answer: B
Work forwards from cost to selling price, then backwards from selling price to the advertised (marked) price.
\[ \text{SP} = 900 \times 1.10 = \text{Rs. } 990 \]
The 12% discount is taken off the advertised price, so
\[ \text{MP} \times (1 - 0.12) = 990 \]
\[ \text{MP} = \frac{990}{0.88} = \text{Rs. } 1125 \]
Profit is reckoned on the cost price and discount on the marked price - two different bases, which is why they cannot be netted off against each other.
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