# By a reduction of \$1 per kg in the sugar price ,mahan can buy 1 kg more for\$56. find the original price on 1 kg

Assume the bus x kg sugar at the original price \$ y per kg.

ATq

xy = 56

x = 56/y

( x+1)(y-1) = 56

(56/y +1)(y-1) = 56

(56+y)(y-1) = 56 y

56 y + y2 - 56 -y = 56y

y2 -y - 56 = 0

y2 -8y +7y - 56 = 0

y(y-8) + 7(y-8)= 0

(y-8)(y+7) =0

y = -7 (not possible )

Hence the original price of the sugar is y = \$ 8 per kg

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