AMC 10 Weekly Practice Round 2

Complete problem set with solutions and individual problem pages

Problem 2 Medium

A fruit company purchased 52,000 kilograms of apples at a cost of 0.98 dollars per kilogram, with an additional 1,840 dollars in transportation and other expenses. The estimated loss due to spoilage is 1\%. If the company hopes to make a 17\% profit after selling all the apples, what should the retail price per kilogram be?

  • A.

    1 dollars

  • B.

    1.1 dollars

  • C.

    1.2 dollars

  • D.

    1.3 dollars

  • E.

    1.5 dollars

Answer:C

Total cost of the purchase:0.98 \times 52{,}000 + 1{,}840 = 50{,}960 + 1{,}840 = 52{,}800 dollars

Total quantity available for sale: 52{,}000 \times (1 - 1\%) = 52{,}000 \times 99\% = 51{,}480 \text{ kg}

Let the retail price per kilogram be x dollars.

Then: 52{,}800 \times (1 + 17\%) = x \times 51{,}480

x = \frac{52{,}800 \times 1.17}{51{,}480}

x = 1.2

Answer: The retail price per kilogram should be 1.20 dollars.

Related Problems
Problem 1 AMC 10 Weekly Practice Round 2
Problem 3 AMC 10 Weekly Practice Round 2
Problem 4 AMC 10 Weekly Practice Round 2
Problem 5 AMC 10 Weekly Practice Round 2
Think Academy Powered by ChatGPT