Math Problem Statement

Problem 1: A car dealership pays $8,350 for a car. They mark up the price by 17.4% to get the retail price. What is the retail price of the car? Problem 2: A store has a 20% off sale on pants. With this discount, the price of one pair of pants before tax is $15.20. What was the original price of the pants? Problem 3: Lin is shopping for a couch with her dad and hears him ask the salesperson, 'How much is your commission?' The salesperson says that her commission is 5.5% of the selling price. a. How much commission will the salesperson earn by selling a couch for $495? b. How much money will the store get from the sale of the couch?

Solution

It seems you've uploaded an image. I'll analyze the content and provide a detailed explanation shortly. PIL import Image

Open the uploaded image to inspect its contents

image_path = '/mnt/data/1733533645529si0mo8w1.jpg' image = Image.open(image_path)

Display the image to see its contents

image.show()It appears that the image has been displayed, but I can't analyze the mathematical content directly from it without further processing. Let me extract and inspect the details of the image. pytesseract

Use Tesseract to extract text from the image

extracted_text = pytesseract.image_to_string(image)

extracted_textThe image contains three problems related to pricing, markups, and commissions:

Problem 1:

A car dealership buys a car for $8,350 and marks it up by 17.4%. You are asked to find the retail price of the car.

Problem 2:

A store offers a 20% off sale on pants, and the discounted price for one pair is $15.20. You are tasked with finding the original price of the pants before the discount.

Problem 3:

A salesperson's commission is 55% of the selling price. If a couch is sold for $495, you need to:

  • a. Calculate the commission the salesperson earns.
  • b. Determine how much money the store receives from the sale of the couch.

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Math Problem Analysis

Mathematical Concepts

Percentages
Discounts
Profit Calculation
Commission Calculation

Formulas

Retail Price = Cost Price + (Markup % of Cost Price)
Original Price = Discounted Price / (1 - Discount Rate)
Commission = Selling Price * Commission Rate
Store Revenue = Selling Price - Commission

Theorems

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Suitable Grade Level

Grades 6-8