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7.Profit and Loss
medium
A $TV$ set is being sold for $Rs.$ $x$ in Chandigarh. A dealer went to Dellini and bought the $TV$ at $20 \%$ discount (from the price of Chandigarh). He spent $Rs.\, 600$ on transport. Thus he sold the set in Chandigarh for $Rs.$ $x$ making $14 \frac{2}{7} \%$ profit. What was $x$ in $Rs.?$
A
$9600$
B
$8800$
C
$8000$
D
$7200$
Solution
The $SP$ of $TV$ in chandigarh $=$ Rs. $x$
The dealer bought it at delhi at $=$ Rs. $0.8 x$ [Discount of $20 \%]$
Total $CP$ of $TV$ set (including transportation cost)
$Rs.$ $0.8 x+600$
Given Profit$\%$ $=14 \frac{2}{7} \%$
$\frac{100}{7}=\left(\frac{(x)-(0.8 x+600)}{(0.8 x+600)}\right) \times 100$
$\frac{1}{7}=\left(\frac{0.2 x-600}{0.8 x+600}\right),$ On solving, $x=$ $Rs. 8000$
Standard 13
Quantitative Aptitude
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