Question:
The list price of a table fan is Rs 480 and it is available to a retailer at 25% discount. For how much should a retailer sell it to gain 15%?
Solution:
Marked price of the table fan $=$ Rs. 480
Discount $=25 \%$
Therefore, cost price $=25 \%$ of $R s .480$
$\frac{25}{100} \times 480=$ Rs. 360
It is given that the profit on the table fan is $15 \%$.
Gain $\%=\frac{\text { Gain }}{\text { CP }} \times 100$
$15=\frac{\text { Gain }}{360} \times 100$
Gain $=$ Rs. 54
Gain $=$ SP $-$ CP
$54=$ SP $-360$
SP $=$ Rs. 414
Thus, the retailer will sell the table fan for Rs. 414 .