What a Sale




What a Sale

A merchant sold 2 items for $12 each. The merchant reasoned that there must have been a profit on the combined transactions since there was a 25% profit on one item and a 20% loss on the other. Was the merchant right? Explain your answer.


Correct Solutions:


  1. Daniel James Spiegel. Escola Americana, Campinas, Sao Paulo, Brazil
  2. Adam Freidin. Princeton High School, Princeton, NJ
  3. Larry Lynch. Hardin Northern High School, Dola, OH
  4. Alan Zebchuk. St. Mark Catholic HS, Manotick, Ontario, Canada
  5. Justin Lam. College Park High School, Pleasant Hill, CA
  6. Stephane Laplante, College de Montreal, Quebec, Canada
  7. Lilly Tenebruso. Monona Grove High School, Monona, WI
  8. Greg Peterson. Sir Oliver Mowat C.I., Scarborough, Ontario, Canada
  9. Erin Perkins. Lake HIghland Preparatory School, Orlando, FL
  10. Sorin Ionescu. Ecole secondaire Dorval, Canada
  11. Eric Hennison. Hillsboro High School, Hillsboro, Ohio
  12. Michael Satchfield. Marine City High School, Marine City, MI
  13. Brian Gleason. Preston HS, Preston ID
  14. Josh Stilwell. Walhalla Middle School, Walhalla, SC
  15. Craig Chasseur. Center for Arts & Sciences, Saginaw, MI
  16. Daniel Casper. Eagle Rock JHS, Idaho Falls, ID
  17. Chris Hildebrand, Garden Valley Collegiate, Winkler, Manitoba, Canada
  18. Angelo Costello.Center for Arts & Sciences,Saginaw,MI
  19. Nirmal Mankani. Center for Arts & Sciences, Saginaw, MI
  20. Damion Austin. Center for Arts & Sciences, Saginaw,MI
  21. Katya Permiakova. Lisgar Collegiate Institute, Ottawa, ON, Canada
  22. Sumeet A. Kadakia. Mira Costa High School, Manhattan Beach, CA
  23. Bailes Brown. Walhalla MS, Walhalla, SC
  24. Benny Goldberg, Hari Seldon Homeschool, Boulder, CO
  25. Ganeshi Wimalasingham. The Mount School, York, England, UK
  26. Fiona Pring. The Mount School, York, England, UK
  27. Laura Miles. The Mount School, York, England, UK
  28. Becci Johnson. The Mount School, York, England, UK
  29. Clare Hatfield. The Mount School, York, England, UK
  30. Emma Hardwick. The Mount School, York, England, UK
  31. Anna Casson. The Mount School, York, England, UK
  32. Deborah Medd. The Mount School, York, England, UK
  33. Sarah Halford-Fletcher. The Mount School, York, England, UK
  34. Alice Wishart. The Mount School, York, England, UK
  35. Claire Holden. The Mount School, York, England, UK
  36. Tamasyn Bourke. The Mount School, York, England, UK
  37. Camilla Masters. The Mount School, York, England, UK
  38. Jian Wu. The Mount School, York, England, UK
  39. Kittie Jones. The Mount School, York, England, UK
  40. Jenny Scott. The Mount School, York, England, UK
  41. Katherine Swaby. The Mount School, York, England, UK
  42. Sian Robinson. The Mount School, York, England, UK
  43. Rachael Warriner. The Mount School, York, England, UK
  44. Emma Cole, The Mount School, York, England, UK.
  45. Dannella Yule, The Mount School, York, England, UK.
  46. Mihir Faldu, Titusville HS, Titusville, FL
  47. Nishas Doshi. The Mount School, York, England, UK
  48. Suzanne Abbott. The Mount School, York, England, UK
  49. Lyndsay Coo. The Mount School, York, England, UK
  50. Catherine Harrison. The Mount School, York, England, UK
  51. Nick Westfahl. Maize HS, Maize, KS
  52. Chris Staley Walkersville HS Walkersville MD
  53. Jessie Vashon. Cony HS, Augusta ME
  54. Jon White. Cony HS, Augusta ME
  55. Brian Brunette. Cony HS, Augusta ME
  56. Ashlea Fadem. Lake Highland Prep School, Orlando, FL
  57. Perry Tolos, Lake Mary HS, Lake Mary, FL
  58. Kristen Rahn. Titusville HS, Titusville, FL
  59. Kenny Conant. Westbrook High School, Westbrook, ME
  60. Jim Chan, HCHS, Hinsdale, IL
  61. Amy Talati. Monsignor Donovan HS, Toms River, NJ
  62. Ryan Gutenkunst. Centennial HS, Pueblo, CO
  63. Shereen Kassam. Lake Highland Prep, Orlando, FL
  64. Narissa Rahaman. Lake Highland Prep, Orlando, FL
  65. Dane Moler. Mira Costa HS, Manhattan Beach, CA
  66. Darren Kwong. South Pasadena MS, South Pasadena, CA
  67. Brett Trahan. Titusville HS, Titusville, FL
  68. Chris Maitland. Titusville HS, Titusville, FL
  69. Annie Oeming. Center for Arts & Sciences, Saginaw, MI
  70. Stacy Finkbeiner. Center for Arts & Sciences, Saginaw, MI
  71. Isabel Twyeffort. Hot Springs HS, Truth or Consequences, NM
  72. Peter Nunns. Stone Valley MS, Alamo, CA
  73. Tim Lindsay. Moscow JHS, Moscow, ID
  74. Kathryn Larson. Oviedo HS, Oviedo, FL
  75. Paul Vernon. Maize HS, Maize, KS
  76. Brandon Jay Hendrickson. Hillcrest HS, Idaho Falls, ID
  77. Miriam Goldberg. Goldberg Homeschool, Boulder, CO
  78. Kevin Alley. St. Paul's School, Covington, LA
  79. Mohammed Saadullah Habib. Oviedo HS, Oviedo, FL
  80. Zahara Kassam. Lake Highland Prep, Orlando, FL
  81. Ryan Burley. Oviedo HS, Oviedo, FL
  82. Kath Bicknell. St. Clares School, Canberra, ACT, Australia
  83. Rudy Taute. Lake Highland Prep, Orlando, FL
  84. Kashyap Patel. Lake Highland Prep, Orlando, FL
  85. Joel Flaxman. Evanston HS, Evanston, IL
  86. Taly Bialostocki. Moscow JHS, Moscow, ID
  87. Chris Young. Center for Arts & Sciences, Saginaw, MI
  88. Tony Wall. Garden Valley Collegiate, Winkler, Manitoba
  89. Danny Benjamin. Lake Mary HS, Lake Mary, FL
  90. Line Rode. Vordingborg Gymnasium, Vordingborg, Denmark
  91. JJ Murphy. Oblong HS, Oblong, IL
  92. Zachary L. Beer. Greensburg Salem HS, Greensburg, PA
  93. Frank Pierce. Lake Highland Prep, Orlando, FL
  94. Angela Park. El Camino High School, South San Francisco, CA
  95. Tetsuya Matsuguchi. Centennial HS, Boise, ID
  96. Alex Lorber. Yeshivah of Flatbush HS, Brooklyn, NY
  97. Joseph Santos. Oviedo HS, Oviedo, FL
  98. Justin Brooks. University HS, Orlando, FL
  99. Mark White. Lake Highland Prep, Orlando, FL
  100. Patrick McHenry. Oviedo HS, Oviedo, FL
  101. Will Meyers. Moore MS, Redlands, CA
  102. Christina Small. Titusville HS, Titusville, FL
  103. Jennings Cooper. Jackson Prep, Jackson, MI
  104. Harmeet Sidhu. Lake Highland Prep, Orlando, FL
  105. Joshua Huckabee. Heritage Prep, Orlando, FL
  106. Jen McCullough, Oviedo HS. Oviedo, FL
  107. Brian White. Lake Highland Prep, Orlando, FL
  108. Michael Wurtz. Groesbeck HS, Groesbeck, TX
  109. Anup Patel. Lake Highland Prep, Orlando, FL
  110. Barby Zeldovich. Trinity Prep, Orlando, FL
  111. Elizabeth Gifford. Park Crest MS, Pflugerville, TX
  112. Jessica Marshall. Oviedo HS, Oviedo, FL
  113. Robby Marcs. Rickards HS, Tallahassee, FL
  114. Nick Scheiner. Rickards HS, Tallahassee, FL
  115. Ivy Palu. Wheatland HS, Madrid, NB