Question

a person bought pencil at rupees 20% dozen and sold them at rupees 2 per pencil find his profit percent​

Answer 1

Pencil=20%

Sold = 2

profit =?

percent

let profit percent be x

20/x ×2

10

per pencil for 10 rupees

Answer 2

His Profit% is 20%

Step-by-step explanation:

Considering that a person bought pencil at Rs 20 per dozen.

That 12 pencil cost Rs20

Thus 1 pencil will cost $\frac{20}{12}$

Selling price of the 1 pencil is Rs 2.

We know Profit = Selling Price - Cost Price

$\Rightarrow Profit=2-\frac{20}{12} \\\\\Rightarrow Profit = \frac{24-20}{12} \\\\\Rightarrow Profit = \frac{4}{12}=\frac{1}{3}$

We know That $Profit\%=\frac{Profit}{Cost Price} \times 100$

Substituting the known values

$\Rightarrow Profit\%=\frac{\frac{1}{3} }{\frac{20}{12} } \times 100\\\\\Rightarrow Profit\%=\frac{1}{3}\times \frac{12}{20}\times 100\\ \\\Rightarrow Profit\% = 20\%$

Learn More:

A man bought eggs at the rate of 9 for ₹36 and sold them at the rate ₹60 per dozen. how many eggs should he sell to earn a net profit of ₹50​

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