mary 發問於 科學及數學數學 · 10 年前

數學:找成本, 想不通步驟, 急需7DEC10交,Help!

hello!

I have an answer of a Math. Question, but don't know how it comes out.

So would seek for you guys' help? Thanks in advance!!

Question Part A):

A man sells calendar and gets

\$18 profit/pc for selling 2 over 5 of his total stock.

In order to clear the rest stock: 3 over 5, he decreases the selling price and has \$8 profit/pc,

--> What does the Quantity of the Stock?

[Could you help me for the breakdown of how to get the answer: 250pcs?]

Question Part B)

After sold 100pcs for \$8 profit/pc, the rest is discarded.

However, it still has 20% total earning.

--> What does the total cost of the Calendar?

[Could you help me for the breakdown of how to get the answer: \$6500?]

Regards, Mary

Missing info of Part A:

The total profit eraring is \$3000, if all stock sold.

Explanation of Part B:

According to the rest stock of 3 over 5, the selling situation is turniing worse.

The man can't sell all of them, but 100pcs onlly. The profit is \$8/pc. Then, he scraps all the unsalable stock.

1 個解答

• 10 年前
最愛解答

A)Let x be the Quantity of the Stock :(2/5)x * 18 + (3/5)x * 8 = 3000(36/5)x + (24/5)x = 3000(60/5)x = 300012x = 3000x = 250Answer: 250pcs

B)Let y be the total cost of the Calendar , then the cost of each = y/250 ,y * (1 + 20%) = [(y/250 + 18) * 250(2/5) + (y/250 + 8) * 1001.2y = 100 (y/250 + 18) + 100 (y/250 + 8)1.2y = 0.4y + 1800 + 0.4y + 8000.4y = 2600y = 6500Answer: \$6500