A shopkeeper bought pens at a rate of 12 pens for 150 rs and sold them at rate of 10 pens for 130rs.The number of pens he should sell to earn a net profit of 20rs is?
x(130/10) = x(150/12)+20
x = 40
X is for what?
To find the number of pens the shopkeeper should sell to earn a net profit of 20 rs, we can use the concept of cost price and selling price.
Let's first calculate the cost price of each pen:
The shopkeeper bought 12 pens for 150 rs.
So, the cost price of each pen = 150 rs / 12 pens = 12.5 rs/pen.
Next, let's calculate the selling price of each pen:
The shopkeeper sold 10 pens for 130 rs.
So, the selling price of each pen = 130 rs / 10 pens = 13 rs/pen.
Now, let's find out the profit per pen:
Profit per pen = Selling price per pen - Cost price per pen
= 13 rs/pen - 12.5 rs/pen
= 0.5 rs/pen
To earn a net profit of 20 rs, the shopkeeper needs to sell more pens to cover that profit. So, the number of pens he should sell can be calculated as:
Number of pens = Net profit / Profit per pen
= 20 rs / 0.5 rs/pen
= 40 pens
Therefore, the shopkeeper should sell 40 pens to earn a net profit of 20 rs.