Question

a tradesman fixed the selling prices of goods at 30% above the cost price he sells half of the stock at this price one-quarter of his stock at a discount of 15% on the original selling price and the rest at a discount of 30% on the original selling price find the gain per cent altogether

Answer 1

Let the number of goods be x and the cost price be Rs 100.

Total CP = 100x.


Total Marked price = 30% above CP @= 130x.

Selling price of half the goods = 65x.

Selling price of first quarter of the goods =
1/4 * 130x * 85/100 = 28x.


Selling price of the second quarter of goods =

1/4 * 130x * 70/100 = 23x.


Total selling price = ( 65x + 28x + 23x ) = 116x.

Total CP = 100x.

Profit = 16x.



Profit % = ( 16/100 * 100) = 16 %.

Answer 2

Let CP be 100, then SP=130. Thus, half of the stock is sold at 130/2=65.

Now, ¼ is sold at a discount of 15%.

Therefore, SP= ¼(130-15% of 130) = 27.625.

Similarly, rest stock that is ¼ is sold at 22.75.

Therefore, Total SP= 115.375.

Hence, Profit=SP-CP=15.375. Profit %=profit/CP*100=(15.375/100)*100 = 15.375%.