SOLUTION: If price of sugar increased by 25%, so that a man is can able to purchase 5 kg. less sugar in Rs. 500. Find the original price of sugar per kg.?

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Question 964077: If price of sugar increased by 25%, so that a man is can able to purchase 5 kg. less sugar in Rs. 500. Find
the original price of sugar per kg.?

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +p+ = the original price/ kg
Let +k+ = the original gk purchased
(1) +500+=+p%2Ak+
(2) +500+=+%28+p+%2B+.25p+%29%2A%28+k+-+5+%29+
------------------------------------
(2) +500+=+1.25p%2A%28+k+-+5+%29+
and
(1) +p+=+500%2Fk+
By substitution:
(2) +500+=+1.25%2A%28+500%2Fk+%29%2A%28+k+-+5+%29+
(2) +500+=+%28+625%2Fk+%29%2A%28+k+-+5+%29+
(2) +500+=+625+-+3125%2Fk+
(2) +500k+=+625k+-+3125+
(2) +125k+=+3125+
(2) +k+=+25+
and
(1) +p+=+500%2Fk+
(1) +p+=+500%2F25+
(1) +p+=+20+
the original price/kg was Rs 20
check:
(2) +500+=+%28+p+%2B+.25p+%29%2A%28+k+-+5+%29+
(2) +500+=+%28+20+%2B+.25%2A20+%29%2A%28+25+-+5+%29+
(2) +500+=+25%2A20+
(2) +500+=+500+
OK