A reduction of 21 % in the price of an item e | vedclass

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Question

Let, the original price of the article be $₹ x$ per $Kg$.

$	herefore \quad$ New price $=₹ \frac{79 x}{100}$ per $Kg$

Now, according to the ques

Vedclass · Accepted Answer

$7.00$

Vedclass · Answer

Let, the original price of the article be $₹ x$ per $Kg$.

$	herefore \quad$ New price $=₹ \frac{79 x}{100}$ per $Kg$

Now, according to the question,

$\frac{100}{\frac{79 x}{100}}-\frac{100}{x}=3$

$\Rightarrow \frac{10000}{79 x}-\frac{100}{x}=3$

$\Rightarrow \frac{10000-7900}{79 x}=3$

$\Rightarrow \frac{2100}{79 x}=3$

$\Rightarrow \frac{700}{79 x}=1$

$\Rightarrow \quad 79 x=700 \Rightarrow x=\frac{700}{79}$

$	herefore \quad$ New price $=\frac{79 x}{100}=\frac{79}{100} 	imes \frac{700}{79}=Rs. 7$ per $Kg$

A reduction of $21 \%$ in the price of an item enables a person to buy $3\, Kg$ more for $Rs.\,100.$ The reduced price of the item per $Kg$ is (in $Rs.$)

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