An automobile parts supplier charges $\$25$ per package of gaskets. When a customer orders more than $10$ packages

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VJesus12: Legendary Member; Posts: 2276; Joined: Sat Oct 14, 2017 6:10 amFollowed by: 3 members

by VJesus12 » Sun Mar 07, 2021 2:14 pm

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An automobile parts supplier charges $\$25$ per package of gaskets. When a customer orders more than $10$ packages of gaskets, the supplier charges $\dfrac45$ the price for each package in excess of $10.$ During a certain week, the supplier sold $60$ packages of gaskets. If $20$ percent of the gaskets went to Company $X,$ $15$ percent to Company $Y,$ and the rest to Company $Z,$ what was the total amount, in dollars, that the parts supplier received in payment for the gaskets?

A. 1305
B. 1345
C. 1375
D. 1415
E. 1455

Answer: B

Source: Princeton Review

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Source: Beat The GMAT — Problem Solving | Sun Mar 07, 2021 2:14 pm

swerve: Legendary Member; Posts: 2560; Joined: Sun Oct 29, 2017 2:04 pmFollowed by: 6 members

Re: An automobile parts supplier charges $\$25$ per package of gaskets. When a customer orders more than $10$ packag

by swerve » Tue Mar 09, 2021 1:05 pm

VJesus12 wrote: ↑
Sun Mar 07, 2021 2:14 pm
An automobile parts supplier charges $\$25$ per package of gaskets. When a customer orders more than $10$ packages of gaskets, the supplier charges $\dfrac45$ the price for each package in excess of $10.$ During a certain week, the supplier sold $60$ packages of gaskets. If $20$ percent of the gaskets went to Company $X,$ $15$ percent to Company $Y,$ and the rest to Company $Z,$ what was the total amount, in dollars, that the parts supplier received in payment for the gaskets?

A. 1305
B. 1345
C. 1375
D. 1415
E. 1455

Answer: B

Source: Princeton Review

No. of products to $X = 20\%$ of $60 =12$
No. of products to $Y = 15\%$ of $60 = 9$
No. of products to $Z = 39$

Dollars form $X = 10\cdot25 + 2\cdot \dfrac{4}{5}\cdot 25 = 290$
Dollars from $Y = 9 \cdot 25= 225$
Dollars from $Z = 10\cdot 25+29\cdot \dfrac{4}{5}\cdot 25 = 830$

Total dollars $= 290+225+830=1345$

Therefore, B

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Re: An automobile parts supplier charges $\$25$ per package of gaskets. When a customer orders more than $10$ packag

by Scott@TargetTestPrep » Sat Mar 20, 2021 12:03 pm

VJesus12 wrote: ↑
Sun Mar 07, 2021 2:14 pm
An automobile parts supplier charges $\$25$ per package of gaskets. When a customer orders more than $10$ packages of gaskets, the supplier charges $\dfrac45$ the price for each package in excess of $10.$ During a certain week, the supplier sold $60$ packages of gaskets. If $20$ percent of the gaskets went to Company $X,$ $15$ percent to Company $Y,$ and the rest to Company $Z,$ what was the total amount, in dollars, that the parts supplier received in payment for the gaskets?

A. 1305
B. 1345
C. 1375
D. 1415
E. 1455

Answer: B

Solution:

We see that Company X received 60 x 0.2 = 12 packages of gaskets, Company Y 60 x 0.15 = 9 packages, and Company Z 60 - 12 - 9 = 39 packages. Since both companies X and Z ordered more than 10 packages, each package in excess of 10 was charged 25 x 4/5 = $20. Therefore, the total amount of money the supplier received from the three companies is:

(25 x 10 + 20 x 2) + (25 x 9) + (25 x 10 + 20 x 29)

290 + 225 + 830 = $1345

Answer: B

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