The price of an article is raised by 30 % and | vedclass

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Question

Let the initial price of article be $\, 100.$

After $1st$ rise of $30 \%$, price $=1.3 	imes 100=Rs. 130$

After $1$ st discount of $10 \%,$ pri

Vedclass · Accepted Answer

increased by $5.3 \%$

Vedclass · Answer

Let the initial price of article be $\, 100.$

After $1st$ rise of $30 \%$, price $=1.3 	imes 100=Rs. 130$

After $1$ st discount of $10 \%,$ price $=130\left(1-\frac{10}{100}ight)=Rs.117$

After $2nd$ discount of $10 \%,$ price $=117\left(1-\frac{10}{100}ight)=117 	imes 0.9=Rs. 105.3$

$	herefore$ Price is increased by $5.3 \%$

Let the initial price of article be $Rs. 100$

$	herefore$ Marked price $=1.3 	imes 100=₹ 130$

$	herefore$ Price after $2$ discounts of $10 \%$ each $=130\left\{1+\left(-10-10+\frac{10^{2}}{100}ight) \%ight\}$

$=130\left(\frac{100-19}{100}ight)=130 	imes \frac{81}{100}=Rs. 105.3$

$	herefore$ $\%$ profit $=\frac{105.3-100}{100} 	imes 100=5.3 \%$

i.e. price is increased by $5.3 \%$

The price of an article is raised by $30 \%$ and then two successive discount of $10 \%$ each are allowed. Ultimately, the price of the article is

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