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What percentage above the cost price should a seller mark his goods so that, after allowing a discount of 20% on the marked price, he can earn a profit of 4%?
Let's assume the cost price of the goods is '100y'.
Profit % = 4%
Selling price of the goods = 100y of (100+4)%
= 100y of 104%
= $$100y\times\frac{104}{100}$$
= 104y
Discount % = 20%
MRP of (100-20)% = 104y
MRP of 80% = 104y
MRP = $$\frac{104y}{80}\times\ 100$$
= 130y
Marked up percentage above the cost price = $$\frac{130y-100y}{100y}\times\ 100$$
= $$\frac{30y}{100y}\times\ 100$$
= 30%
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