A shopkeeper sells goods at 10 % loss on cost price, but uses 20 % less weight. his profit or loss p

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7.Profit and Loss

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A shopkeeper sells goods at $10 \%$ loss on cost price, but uses $20 \%$ less weight. What is his profit or loss percentage?

A

$2 \%$ gain

B

$2 \frac{1}{2} \%$ loss

C

$12 \frac{1}{2} \%$ gain

D

None of these

Solution

Here, $x=-10$ and $y=20$

$\therefore$ Overall gain/loss $\%=\left[\frac{y+x}{100-y} \times 100\right] \%$

$=\left[\frac{20-10}{100-20} \times 100\right] \%$

$=12 \frac{1}{2} \%$

which represents gain being a positive expression.

Standard 13

Quantitative Aptitude

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