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7.Profit and Loss
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The market price of an article is $Rs.$ $100 .$ If the article is sold at a discount of $10 \%,$ then $35 \%$ profit is realised. How much loss or profit will be made if it is sold for $Rs.\, 30$ less than market price?
A
$5 \%$ loss
B
$8 \%$ gain
C
$5 \%$ gain
D
$8 \%$ loss
Solution
Here, $(100+$ Profit $) \%$ of $C P$
$=$ Rs. $( MP -10 \%$ of $MP )$
$(100+35) \% CP =$ Rs. $(100-10)$
$(135 \%) CP = Rs. 90 \Rightarrow CP = Rs . \frac{200}{3}$
$SP$ of article (at $Rs. 30$ less than $MP$) $= Rs. 70$
Profit $\%=\frac{70-\frac{200}{3}}{\frac{200}{3}} \times 100=5 \%$
Standard 13
Quantitative Aptitude
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