Cost price of 3 pens is equal to the cost price of 5 pencils. If equal number of pens and pencils are sold and pens are sold at 20% profit and pencils are sold at `(100)/(3)`% profit then what is the overall profit percentage.

Options

A. `18%`
B. `15%`
C. `22%`
D. `25%`

Answer

To solve the problem step by step, let's break it down:

### Step 1: Understand the Cost Price Relationship
We know that the cost price of 3 pens is equal to the cost price of 5 pencils. Let's denote:
- Cost Price of 1 pen = P
- Cost Price of 1 pencil = C

From the problem, we have:
\[ 3P = 5C \]
This implies:
\[ \frac{P}{C} = \frac{5}{3} \]
So, if we assume the cost price of 1 pencil is 3 units, then the cost price of 1 pen will be 5 units.