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With a 5% discount on the cost of sugar a buyer could purchase 2 kg more sugar for Rs. 608. Selling Price of Sugar is:

a) Rs. 15.20
b) Rs. 15
c) Rs. 16.50
d) Rs. 2

Answer: a
Explanation:
$$\eqalign{ & {\text{Let Initial Price of sugar was }}X. \cr & {\text{After Discount of }}5\% , \cr & {\text{the price of the sugar become}}, \cr & = X – 5\% \,of\,X \cr & = X – {\frac{{5X}}{{100}}} \cr & = \frac{{ {100X – 5X} }}{{100}} \cr & = \frac{{95X}}{{100}} \cr & {\text{Amount of sugar now,}} \cr & {\text{Buyer gets in }}Rs.608, \cr & = \frac{{608}}{{ {\frac{{95X}}{{100}}} }} \cr & = \frac{{ {608 \times 100} }}{{95}} \cr & {\text{Amount of sugar he gets – }} \cr & {\text{before the discount,}} \cr & = \frac{{608}}{X} \cr & \frac{{608}}{{ {\frac{{95X}}{{100}}} }} – \frac{{608}}{x} = 2 \cr & {\text{On}}\,{\text{Solving}} \cr & X = Rs.\,16 \cr & {\text{After discount price become}} \cr & = 16 – 5\% \,of\,16 \cr & = Rs.\,15.20 \cr} $$

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