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- Standard 13
- Quantitative Aptitude
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.
