AMC 10 Weekly Practice Round 2

Complete problem set with solutions and individual problem pages

Problem 1 Easy

A store is selling a commodity. Due to reduction of purchase price by 6.4\%, the profit rate increased by 8\%. Then the original profit ratio of this commodity is            .

  • A.

    16\%

  • B.

    17\%

  • C.

    18\%

  • D.

    19\%

  • E.

    20\%

Answer:B

Let the original cost price be a dollars, and the original profit rate be x.

According to the problem: \frac{a(1 + x) - a(1 - 6.4\%)}{a(1 - 6.4\%)} = x + 8\%

Solving this equation gives: x = 17\%

Answer: 17\%.