Question
The price of sugar is reduced by 20%. Now a person can buy 500g more sugar for Rs.36. The original price of the sugar per kilogram was
Answer: Option D Answer: (d)Let the original price of sugar = Rs.x /kg.Reduced price of sugar = 80% of x = ${x × 80}/100 = Rs.{4x}/5$kg$36/{{4x}/5} - 36/x = 1/2$$45/x - 36/x = 1/2$$9/x = 1/2$ ⇒ x = 9 × 2 = Rs.18/Kg Using Rule 31,New price = ${20 × 36}/{100 × 500/100}$ = Rs.14.4Let the original price be Rs x A.T.Q.$x - {20x}/100$ = 14.4${80x}/100$ = 14.4 $x = 144/8$ ⇒ x =18∴ Original price = Rs.18
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