Due to a 20% rise in the price of sugar,a bac | vedclass

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(A) Let the original price of sugar be $x$ per $kg$.The new price of sugar after a $20\%$ increase is $1.2x$ per $kg$.According to the problem,the dif

Vedclass · Accepted Answer

$18$

Vedclass · Answer

(A) Let the original price of sugar be $x$ per $kg$.The new price of sugar after a $20\%$ increase is $1.2x$ per $kg$.According to the problem,the difference in quantity purchased for $Rs.\, 135$ is $1.5\, kg$:$\frac{135}{x} - \frac{135}{1.2x} = 1.5$Multiply by $1.2x$ to solve for $x$:$135(1.2) - 135 = 1.5(1.2x)$$162 - 135 = 1.8x$$27 = 1.8x$$x = \frac{27}{1.8} = 15$The original price was $Rs.\, 15$ per $kg$.The increased price is $1.2 	imes 15 = Rs.\, 18$ per $kg$.

Due to a $20\%$ rise in the price of sugar,a bachelor is able to buy $1.5\, kg$ less for $Rs.\, 135$. What is the increased price of sugar per $kg$ in $Rs.$?

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