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(D) Let the initial price of sugar be $P$ per kg.Initial quantity purchased for $Rs. 608$ is $Q = \frac{608}{P}$ kg.After a $5 \%$ discount,the new pr

Vedclass · Accepted Answer

$16$

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(D) Let the initial price of sugar be $P$ per kg.Initial quantity purchased for $Rs. 608$ is $Q = \frac{608}{P}$ kg.After a $5 \%$ discount,the new price is $P' = 0.95P$.The new quantity purchased for $Rs. 608$ is $Q' = \frac{608}{0.95P}$.Given that the buyer can purchase $2 	ext{ kg}$ more,we have $Q' - Q = 2$.$\frac{608}{0.95P} - \frac{608}{P} = 2$.$\frac{608}{P} \left( \frac{1}{0.95} - 1 ight) = 2$.$\frac{608}{P} \left( \frac{1 - 0.95}{0.95} ight) = 2$.$\frac{608}{P} \left( \frac{0.05}{0.95} ight) = 2$.$\frac{608}{P} \left( \frac{1}{19} ight) = 2$.$608 = 38P$.$P = \frac{608}{38} = 16$.Therefore,the initial selling price of sugar is $Rs. 16$ per kg.

With a $5 \%$ discount on the cost of sugar,a buyer could purchase $2 \text{ kg}$ more sugar for $Rs. 608$. What is the initial selling price of sugar per kg?

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