Question:
Judy bought a quantity of pens in packages of 5 for 0.80 per package. She sold all of the pens in packages of 3 for 0.60 per package. If Judy's profit from the pens was $8.00, how many pens did she buy and sell?
Judy bought a quantity of pens in packages of 5 for 0.80 per package. She sold all of the pens in packages of 3 for 0.60 per package. If Judy's profit from the pens was $8.00, how many pens did she buy and sell?
Show Hint
To find the total number of items sold, divide the total profit by the profit per item.
Updated On: Oct 3, 2025
Show Solution
Verified By Collegedunia
Solution and Explanation
Step 1: Calculate the cost per pen.
Each package of 5 pens costs $0.80, so the cost per pen is:
Cost per pen = 0.80 / 5 = 0.16
Step 2: Calculate the selling price per pen.
Each package of 3 pens is sold for $0.60, so the selling price per pen is:
Selling price per pen = 0.60 / 3 = 0.20
Step 3: Calculate the profit per pen.
The profit per pen is the selling price minus the cost price:
Profit per pen = 0.20 - 0.16 = 0.04
Step 4: Calculate the number of pens sold.
Judy's total profit is $8.00, so the number of pens sold is:
Number of pens sold = 8.00 / 0.04 = 200
Step 5: Conclusion.
Thus, Judy bought and sold 200 pens.
Each package of 5 pens costs $0.80, so the cost per pen is:
Cost per pen = 0.80 / 5 = 0.16
Step 2: Calculate the selling price per pen.
Each package of 3 pens is sold for $0.60, so the selling price per pen is:
Selling price per pen = 0.60 / 3 = 0.20
Step 3: Calculate the profit per pen.
The profit per pen is the selling price minus the cost price:
Profit per pen = 0.20 - 0.16 = 0.04
Step 4: Calculate the number of pens sold.
Judy's total profit is $8.00, so the number of pens sold is:
Number of pens sold = 8.00 / 0.04 = 200
Step 5: Conclusion.
Thus, Judy bought and sold 200 pens.
Was this answer helpful?
0
0
Top GMAT Quantitative Aptitude Questions
- Consider a function f satisfying f(x * y) = f(x) + f(y) where x, y are positive integers, then what is the value of \( \frac{f(3) + f(12){f(12) - f(4) + f(2)} \)?}
- A merchant sold a car at 60% of the marked price and obtained a loss of 20%. If the cost price of the car is three times the cost price of the bike, then what should be the selling price of the bike to make a profit of 20%?
- Two trains, P and Q, pass a pole in 40 seconds and 2 minutes 20 seconds, respectively. If the length of train P is two-thirds that of train Q, what is the ratio of the speed of train P to that of train Q?
- If a and b are positive integers satisfying \(4a + 3b = 17\) and \( \frac{(5ab)!}{3^p} \) is an integer, then the maximum value of p is
- Alex has two children - Ben and Chloe. The current age of Alex is 4 times that of Ben. 4 years later, the age of Alex is 4 times that of Chloe. What is the age difference between Ben and Chloe?
View More Questions
Top GMAT Profit and Loss Questions
- When a subscription to a new magazine was purchased for \( m \) months, the publisher offered a discount of 75 percent off the regular monthly price of the magazine. If the total value of the discount was equivalent to buying the magazine at its regular monthly price for 27 months, what was the value of \( m \)? [Official GMAT-2018]
- Cheryl purchased 5 identical hollow pine doors and 6 identical solid oak doors for the house she is building. The regular price of each solid oak door was twice the regular price of each hollow pine door. However, Cheryl was given a discount of 25% off the regular price of each solid oak door. If the regular price of each hollow pine door was $40, what was the total price of all 11 doors? [Official GMAT-2018]
- On a certain day, a bakery produced a batch of rolls at a total production cost of $300. On that day, (4/5) of the rolls in the batch were sold, each at a price that was 50% greater than the average (arithmetic mean) production cost per roll. The remaining rolls in the batch were sold the next day, each at a price that was 20% less than the price of the day before. What was the bakery's profit on this batch of rolls?
- A book shop sold a set of Harry Potter books to a book collector for 40 percent more than the store had originally paid for the books. When the collector tried to resell the books to the store, the store bought it back at 50 percent of what the book collector had paid. The shop then sold the book again at a profit of 70 percent on its buy-back price. If the difference between the series of book's original cost to the shop and the book's buy-back price was 100, for approximately how much did the shop sell the books the second time?
- By what percent was the price of a certain Tab discounted for a sale?
(1) The price of the tab was sold with a discount of 50.
(2) The price of the tab before it was discounted for the sale was 25 percent greater than the discounted price.
View More Questions
Top GMAT Questions
- Consider a function f satisfying f(x * y) = f(x) + f(y) where x, y are positive integers, then what is the value of \( \frac{f(3) + f(12){f(12) - f(4) + f(2)} \)?}
- A merchant sold a car at 60% of the marked price and obtained a loss of 20%. If the cost price of the car is three times the cost price of the bike, then what should be the selling price of the bike to make a profit of 20%?
- Two trains, P and Q, pass a pole in 40 seconds and 2 minutes 20 seconds, respectively. If the length of train P is two-thirds that of train Q, what is the ratio of the speed of train P to that of train Q?
- If a and b are positive integers satisfying \(4a + 3b = 17\) and \( \frac{(5ab)!}{3^p} \) is an integer, then the maximum value of p is
- Alex has two children - Ben and Chloe. The current age of Alex is 4 times that of Ben. 4 years later, the age of Alex is 4 times that of Chloe. What is the age difference between Ben and Chloe?
View More Questions