By selling an article for Rs. 21,a man incurs | vedclass

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(A) Let the cost price of the article be $₹ x$.Given that the percentage loss is equal to the cost price,the loss percentage is $x\%$.The selling pric

Vedclass · Accepted Answer

$30, 70$

Vedclass · Answer

(A) Let the cost price of the article be $₹ x$.Given that the percentage loss is equal to the cost price,the loss percentage is $x\%$.The selling price is given by: $	ext{Selling Price} = 	ext{Cost Price} 	imes \left(1 - \frac{	ext{Loss}\%}{100}ight)$.Substituting the given values: $21 = x 	imes \left(1 - \frac{x}{100}ight)$.$21 = x - \frac{x^2}{100}$.Multiplying the entire equation by $100$: $2100 = 100x - x^2$.Rearranging into a quadratic equation: $x^2 - 100x + 2100 = 0$.Factoring the quadratic equation: $(x - 30)(x - 70) = 0$.Thus,$x = 30$ or $x = 70$.Therefore,the cost price of the article can be either $₹ 30$ or $₹ 70$.

By selling an article for $Rs. 21$,a man incurs a loss such that the percentage loss is equal to the cost price. The cost price of the article is (in $Rs.$):

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