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- Quantitative Aptitude
7.Profit and Loss
medium
A merchant purchases a wrist watch for $Rs.\,450$ and fixes its list price in such a way that after allowing a discount of $10 \%,$ he earns a profit of $20 \%$. Then the list price (in rupees) of the wrist watch is
A
$500$
B
$600$
C
$750$
D
$800$
Solution
Let, the list price of wrist watch be $₹ x .$
Selling price of wrist watch at $10 \%$ discount
$=₹ x\left(\frac{100-10}{100}\right)=7 \frac{9 x}{10}$
cost price of wrist watch at $20 \%$ profit
$=₹ \frac{9 x}{10}\left(\frac{100}{100+20}\right)=₹\left(\frac{9 x}{10} \times \frac{10}{12}\right)=₹ \frac{3 x}{4}$
Now, according to the question,
$\frac{3 x}{4}=450 \Rightarrow x=\frac{450 \times 4}{3}=600$
$\therefore$ List price of the wrist watch $=₹ 600$
Standard 13
Quantitative Aptitude
