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- Standard 13
- Quantitative Aptitude
Half of $100$ articles were sold at a profit of $20 \%$ and the rest at a profit of $40 \% .$ If all of the articles had been sold at a profit of $25 \%,$ the total profit would have been $Rs.\,100$ less than earlier profit. The cost price of each article was (in $Rs.$)
$10$
$15$
$20$
$30$
Solution
Here, $50$ articles were sold at a profit of $20 \%$ and $50$ articles at a profit of $40 \%$
Let, the price of each article be $₹ x,$ then Total $S.P.$
$=\left\{\frac{50 x \times 20}{100}+50 x\right\}+\left\{\frac{50 x \times 40}{100}+50 x\right\}$
$=₹ 130 x$
Selling Price of all the articles at $25 \%$ profit $=100 x+\frac{100 x \times 25}{100}=125 x$
Difference $=130 x-125 x=5 x$
$\Rightarrow 5 x-₹ 100 \Rightarrow x=₹ 20$
$\therefore$ The cost price of each article was $Rs.20$
