Question

By selling $45$ kg sugar, a shopkeeper gains equal to SP of $5$ kg sugar. find his gain %.

Answer 1

Selling Price = Cost Price + Profit (SP = CP + P)

Profit on sale of $45$ kg sugar = Selling Price of $5$ kg sugar : $45P=5(C+P)$

$45P=5C+5P$

$45P-5P=5C$

$40P=5C$

$P/C=(5\ast 100)/40$

$P/C=500/40$

$12.5$ %

So, profit margin on Cost Price is $12.5$%