Math Problem Statement
A man bought 20 pens for Rs.x and the man sold each pen at the cost price of two pens. If he sold the pen at a loss of 20%, then he would have sold each pen for Rs.36 less. Find the total selling price of all pens, if he had sold each pen at a profit of 30%.
Solution
Let's break down the problem step by step.
Step 1: Define Variables
- Let the cost price (CP) of each pen be Rs.
- Therefore, the total cost price for 20 pens is Rs.
Step 2: Understand Selling Price at a Loss
- He sold each pen at the cost price of two pens, so the selling price (SP) of each pen is Rs.
- The loss is 20%, so the loss per pen is Rs.
- Hence, the selling price with a 20% loss would be Rs.
- According to the problem, this selling price is Rs.36 less than .
Step 3: Formulate the Equation
- The equation based on the above information is:
- Solving for :
Step 4: Find the Total Selling Price at 30% Profit
- Now, if he sold each pen at a 30% profit, the selling price of each pen would be: [ \text{SP per pen} = y + 0
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Cost Price
Selling Price
Profit and Loss
Formulas
-
Theorems
-
Suitable Grade Level
Grades 9-12
Related Recommendation
Calculate Total Selling Price of Pens with Profit and Loss
Calculate Selling Price for Profit: 10 Pens and 15 Pencils
Find Profit Percentage When Selling Price of 6 Pens Equals Cost Price of 4 Pens
Calculate Profit Percentage When Selling Price of 6 Pens Equals Cost Price of 4 Pens
Find the Cost Price of a Pen Given Profit Percentage