Due to a price hike of 20 %, 4 text{ kg} less | vedclass

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Question

(B) Let the initial price of sugar be $x$ per kg.Initial quantity of sugar for $₹ 120 = \frac{120}{x} 	ext{ kg}$.New price after $20 \%$ hike $= x +

Vedclass · Accepted Answer

$5$

Vedclass · Answer

(B) Let the initial price of sugar be $x$ per kg.Initial quantity of sugar for $₹ 120 = \frac{120}{x} 	ext{ kg}$.New price after $20 \%$ hike $= x + 0.20x = 1.2x$.New quantity of sugar for $₹ 120 = \frac{120}{1.2x} = \frac{100}{x} 	ext{ kg}$.According to the problem, the difference in quantity is $4 	ext{ kg}$:$\frac{120}{x} - \frac{100}{x} = 4$$\frac{20}{x} = 4$$x = \frac{20}{4} = 5$.Therefore, the initial price of sugar is $₹ 5 	ext{ per kg}$.

Due to a price hike of $20 \%$, $4 \text{ kg}$ less sugar is available for $₹ 120$. What is the initial price per kg of sugar (in $\text{ per kg}$)?

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