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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:

Answer & Solution
Correct Answer: Option A
$$\eqalign{ & {\text{Let Initial Price of sugar was }}X. \cr & {\text{After Discount of }}5\% , \cr & {\text{the price of the sugar become}}, \cr & = X - 5\% \,of\,X \cr & = X - {\frac{{5X}}{{100}}} \cr & = \frac{{ {100X - 5X} }}{{100}} \cr & = \frac{{95X}}{{100}} \cr & {\text{Amount of sugar now,}} \cr & {\text{Buyer gets in }}Rs.608, \cr & = \frac{{608}}{{ {\frac{{95X}}{{100}}} }} \cr & = \frac{{ {608 \times 100} }}{{95}} \cr & {\text{Amount of sugar he gets - }} \cr & {\text{before the discount,}} \cr & = \frac{{608}}{X} \cr & {\text{Now,}}\,{\text{According}}\,{\text{to}}\,{\text{question}}, \cr & \frac{{608}}{{ {\frac{{95X}}{{100}}} }} - \frac{{608}}{x} = 2 \cr & {\text{On}}\,{\text{Solving}} \cr & X = Rs.\,16 \cr & {\text{After discount price become}} \cr & = 16 - 5\% \,of\,16 \cr & = Rs.\,15.20 \cr} $$
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3 Comments
Siful Islam
Siful Islam 8 years ago
in 5%, purchasable sugar is 2kg
so, in 100%, purchased sugar is 40 kg.
so the selling price of sugar= 608÷40
= 15.2 (ans.)

Poulami Sarkar
Poulami Sarkar 8 years ago
Is this solution correct?
Nvjddurrg Jgyureey
Nvjddurrg Jgyureey 8 years ago
608*5/100
= 30.4
=15.20