Multiple choice

James owns a garment shop. He sold a total of 4 dresses at an average price of \$8. The next day, he again sold 4 dresses, but this time with an average price of \$10. On the third day, he sold 2 dresses after increasing the price by 10% and then 2 dresses after increasing the price by 20%. The dress before the increase of 10% had the same price as the average price of each dress on the first day, and the dress before the increase of 20% had the same price as the average price of each dress on the second day. What was the average price of all the dresses he sold?

  1. $8.55
  2. $9.12
  3. $9.47
  4. $9.98
  5. $10.22
Reveal answer Fill a bubble to check yourself
C Correct answer
AI explanation

The first day's sales totaled 4 times 8, which is 32 dollars, and the second day's sales totaled 4 times 10, which is 40 dollars. On the third day, he sold 2 dresses at a 10 percent increase over 8 dollars, making them 8.80 dollars each for a total of 17.60 dollars, and 2 dresses at a 20 percent increase over 10 dollars, making them 12 dollars each for a total of 24 dollars. The combined total for all 12 dresses is 32 + 40 + 17.60 + 24 = 113.60 dollars. Applying the basic average formula gives 113.60 / 12, which equals $9.47.