Discussion
Raj decides to sell his watch at 5% discount. But his brother buys it from him and he gives his brother 8% discount. Due to this Raj gets Rs. 45 less in the profit. What was the marked price of the watch?
Answer: A
The two schemes differ only in the discount rate, so the shortfall is the extra discount measured on the marked price.
\[ (8\% - 5\%) \times \text{MP} = 45 \]
\[ 0.03 \times \text{MP} = 45 \quad\Longrightarrow\quad \text{MP} = \frac{45}{0.03} = \text{Rs. } 1500 \]
Checking: a 5% discount gives Rs. 1425 and an 8% discount Rs. 1380 - exactly Rs. 45 apart. The cost price never enters the calculation, because it is the same under both schemes and cancels out of the profit difference.
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