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- Quantitative Aptitude
7.Profit and Loss
hard
A fan is listed at $Rs.\, 1500$ and a discount of $20 \%$ is offered on the list price. What additional discount must be offered to the customer to bring the net price to $Rs$ $1104 ?$ (in $\%$)
A
$8$
B
$10$
C
$12$
D
$15$
Solution
Listed price $=Rs. 1500$
First discount $=20 \%$
Let additional discount be $x \%$
$\therefore \quad 1500 \times \frac{80}{100} \times\left(\frac{100-x}{100}\right)=1104$
$\therefore \quad 1-\frac{x}{100}=\frac{1104 \times 100}{1500 \times 80}$
$\therefore$ $\frac{x}{100}=1-\frac{1104 \times 100}{1500 \times 80}$
or $x=\left(1-\frac{1104 \times 100}{1500 \times 80}\right) \times 100=\left(1-\frac{368}{400}\right) \times 100=8 \%$
Standard 13
Quantitative Aptitude
