A shopkeeper sold one - third of his goods at a loss of 15 % . To get a profit of 10 % on whole tran

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7.Profit and Loss

hard

A shopkeeper sold one$-$third of his goods at a loss of $15 \% .$ To get a profit of $10 \%$ on the whole transaction, he should sell the remaining articles at a profit of in $\%$

A

$22 \frac{1}{2}$

B

$16 \frac{2}{3}$

C

$15$

D

$25$

Solution

Total $C.P =₹ 300$

$\frac{1}{3}$ of article $CP =₹ 100$

$\frac{2}{3}$ of article $CP =₹ 200$

Profit $=110 \%(300)=₹ 330$

$100 \times\left(\frac{85}{100}\right)+200 \times\left(\frac{x}{100}\right)=330$

$x=122.5$

$\frac{2}{3} rd$ of article sold at $22.5 \%$

Standard 13

Quantitative Aptitude

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