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7.Profit and Loss
hard
A man sells an article at a loss of $5 \% .$ If he had bought it at $20 \%$ more and sold it for $Rs.\,115$ less, he would have made a loss of $40 \% .$ Find the cost price of the article.
A
$400$
B
$450$
C
$500$
D
$600$
Solution
Let the cost price of the article be ${ }^{\prime} P^{\prime}$
Initial $S.P.$ $=\frac{95}{100} P$
Final $S.P.$ $=\left(\frac{120}{100} \times \frac{60}{100}\right) P$
$\therefore \frac{95}{100} P-\left(\frac{120}{100} \times \frac{60}{100}\right) P=115$
$\therefore P=\frac{115 \times 100 \times 100}{95 \times 100-120 \times 60}=\frac{115 \times 100 \times 100}{2300}=₹ 500$
Standard 13
Quantitative Aptitude
