Question

How do we solve this question? Aman purchased 180 copics of a book at $ 250.00 each. He sold y copies at $ 300.00 each and the rest at a discount of 5 $ in the dollars of the cost price. If he made a profit of $ 7,125.00, find the value of y.​

Answer 1

• y = 146

Explanation:

Given

• Number of copies of a book is 180,
• Cost of each book is $250,
• Number of books sold at $300 is y,
• Amount of discount is $5 of of the cost price,
• Total profit is $7125.

To find

• The value of y.

Solution

Profit made on y books:

• (300 - 250)y =
• 50y

Remaining books:

• 180 - y

Loss made on the remaining books:

• 5*(180 - y) =
• 900 - 5y

Set an equation for the total profit and solve for y:

• 50y - (900 - 5y) = 7125
• 50y - 900 + 5y = 7125
• 55y = 7125 + 900
• 55y = 8025
• y = 8025/55
• y = 145.90 ≈ 146

Proof:

• 146*50 - 5(180 - 146) = 7130

Note: Since y = 146 gives us the profit of $7130 this should be made correct in the question.