At a cost of 60 paise per article, Sarika produces 750 articles. She puts selling price such that if

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7.Profit and Loss

hard

At a cost of $60$ paise per article, Sarika produces $750$ articles. She puts the selling price such that if only $600$ articles are sold, she would have made a profit of $40 \%$ on the outlay. However, $120$ articles got spoilt and she was able to sell $630$ articles at this price. Find her actual profit or loss percent as the percentage of total outlay assuming that the unsold articles are useless.

$47 \%$ profit

$51 \%$ profit

$36 \%$ loss

$28 \%$ loss

Solution

Total CP of articles $=750 \times 0.6=$ $Rs. 450$

$[ CP \text { of } 1 \text { article }= Rs .0 .6]$

By selling 600 articles, Sarika should make a $40 \%$ profit on the outlay. This means that the selling price for $600$ articles should be $1.4 \times 450=$ $Rs. 630$

Thus, selling price per article

$=\frac{630}{600}=\frac{63}{60}=$ Rs. $1.05 \quad[$ $SP$ of $1$ article $]$

since, Sarika sells only $630$ articles at this price, her total recovery $=1.05 \times 630=$ $Rs. 661.5$

Hence, actual profit percent

$=\frac{661.5-450}{450} \times 100=47 \%$

Thus, Sarika earns $47 \%$ profit on her total investment.

Standard 13

Quantitative Aptitude

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medium

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medium

Solution

Similar Questions

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