# Math Help - Profit & Loss

1. ## Profit & Loss

Hi Guys
Can anyone solve these 2 questions ?

1) A trader marks his goods at 20% above the cost price. If he allows a discount of 5% for cash payment, what profit percent does he make ?

2) A shopkeeper marks his goods at 20% above his cost price. He sells three-fourths of his goods at the marked price. He sells the remaining good s at 50% of marked price. Determine his profit percent on the whole transaction.

Also, please tell me the difference between Cost Price, Selling Price and most importantly "Marked Price"

2. Originally Posted by 777
Hi Guys
Can anyone solve these 2 questions ?

1) A trader marks his goods at 20% above the cost price. If he allows a discount of 5% for cash payment, what profit percent does he make ?

2) A shopkeeper marks his goods at 20% above his cost price. He sells three-fourths of his goods at the marked price. He sells the remaining good s at 50% of marked price. Determine his profit percent on the whole transaction.

Also, please tell me the difference between Cost Price, Selling Price and most importantly "Marked Price"
Cost Price: the price you buy your goods
Selling price: the price you sell your goods for

3. Originally Posted by 777
Hi Guys
Can anyone solve these 2 questions ?

1) A trader marks his goods at 20% above the cost price. If he allows a discount of 5% for cash payment, what profit percent does he make ?

[snip]
$x \longrightarrow x + (20 \%) x = x + \frac{1}{5} x = \frac{6}{5} x \longrightarrow \frac{6}{5} x - (5 \%) \frac{6}{5} x = \frac{6}{5} x - \left(\frac{1}{20}\right) \frac{6}{5} x = \frac{57}{50} x = x + \frac{7}{50} x$.

Therefore the trader makes a 14% profit when cash is paid.

Originally Posted by 777
[snip]
2) A shopkeeper marks his goods at 20% above his cost price. He sells three-fourths of his goods at the marked price. He sells the remaining good s at 50% of marked price. Determine his profit percent on the whole transaction.
[snip]
Won't it just be $\left(\frac{3}{4}\right) (20\%) + \left( \frac{1}{4} \right) (\P) = \, .... \%$