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A shopkeeper purchased 20 identical units of an item at a cost of $20 per unit. He sold some of the units at a price of $x per unit and the remaining units at $y per unit. What was his gross profit made by selling the 20 units of the item?
(1) The number of units sold at $x per unit was 12
(2) The total revenue generated by selling the 20 units was $880
  • a)
    Statement (1) ALONE is sufficient, but statement (2) alone is
    not sufficient to answer the question asked
  • b)
    Statement (2) ALONE is sufficient, but statement (1) alone is
    not sufficient to answer the question asked
  • c)
    BOTH statements (1) and (2) TOGETHER are sufficient to
    answer the question asked, but NEITHER statement ALONE
    is sufficient to answer the question asked.
  • d)
    EACH statement ALONE is sufficient to answer the question
    asked.
  • e)
    Statements (1) and (2) TOGETHER are NOT sufficient to
    answer the question asked, and additional data specific to the
    problem are needed
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A shopkeeper purchased 20 identical units of an item at a cost of $20 ...
Step 1 & 2: Understand Question and Draw Inference
Given:
  • Total number of units = 20
  • Cost price per unit = $20
  • Let the number of items sold at $x per unit be a
  • So, the number of items sold at $y per unit = 20 – a
To find: Gross Profit
  • Gross Profit = (Total Revenue) – (Total Cost)
    • = {ax + (20-a)*y } – 20*20
  • So, in order to answer the question, we need to find the Total Revenue, and to find the Total Revenue, we need to know a, x and y
Step 3 : Analyze Statement 1 independent
Statement 1 says that ‘The number of units sold at $x per unit was 12’
  • So, a = 12
  • However, we do not yet know the value of x and y
  • So, Statement 1 is not sufficient to find ‘Total Revenue’ and hence, to get to the answer
Step 4 : Analyze Statement 2 independent
Statement 2 says that ‘The total revenue generated by selling the 20 units was $880’
  • Since we now know the value of ‘Total Revenue’, we can find Gross Profit
  • So, Statement 2 is sufficient to answer the question
Step 5: Analyze Both Statements Together (if needed)
Since we’ve already arrived at a unique answer in Step 4, this step is not required
Answer: Option B
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A shopkeeper purchased 20 identical units of an item at a cost of $20 per unit. He sold some of the units at a price of $x per unit and the remaining units at $y per unit. What was his gross profit made by selling the 20 units of the item?(1) The number of units sold at $x per unit was 12(2) The total revenue generated by selling the 20 units was $880a)Statement (1) ALONE is sufficient, but statement (2) alone isnot sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone isnot sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient toanswer the question asked, but NEITHER statement ALONEis sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the questionasked.e)Statements (1) and (2) TOGETHER are NOT sufficient toanswer the question asked, and additional data specific to theproblem are neededCorrect answer is option 'B'. Can you explain this answer?
Question Description
A shopkeeper purchased 20 identical units of an item at a cost of $20 per unit. He sold some of the units at a price of $x per unit and the remaining units at $y per unit. What was his gross profit made by selling the 20 units of the item?(1) The number of units sold at $x per unit was 12(2) The total revenue generated by selling the 20 units was $880a)Statement (1) ALONE is sufficient, but statement (2) alone isnot sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone isnot sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient toanswer the question asked, but NEITHER statement ALONEis sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the questionasked.e)Statements (1) and (2) TOGETHER are NOT sufficient toanswer the question asked, and additional data specific to theproblem are neededCorrect answer is option 'B'. Can you explain this answer? for GMAT 2024 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about A shopkeeper purchased 20 identical units of an item at a cost of $20 per unit. He sold some of the units at a price of $x per unit and the remaining units at $y per unit. What was his gross profit made by selling the 20 units of the item?(1) The number of units sold at $x per unit was 12(2) The total revenue generated by selling the 20 units was $880a)Statement (1) ALONE is sufficient, but statement (2) alone isnot sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone isnot sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient toanswer the question asked, but NEITHER statement ALONEis sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the questionasked.e)Statements (1) and (2) TOGETHER are NOT sufficient toanswer the question asked, and additional data specific to theproblem are neededCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A shopkeeper purchased 20 identical units of an item at a cost of $20 per unit. He sold some of the units at a price of $x per unit and the remaining units at $y per unit. What was his gross profit made by selling the 20 units of the item?(1) The number of units sold at $x per unit was 12(2) The total revenue generated by selling the 20 units was $880a)Statement (1) ALONE is sufficient, but statement (2) alone isnot sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone isnot sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient toanswer the question asked, but NEITHER statement ALONEis sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the questionasked.e)Statements (1) and (2) TOGETHER are NOT sufficient toanswer the question asked, and additional data specific to theproblem are neededCorrect answer is option 'B'. Can you explain this answer?.
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What was his gross profit made by selling the 20 units of the item?(1) The number of units sold at $x per unit was 12(2) The total revenue generated by selling the 20 units was $880a)Statement (1) ALONE is sufficient, but statement (2) alone isnot sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone isnot sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient toanswer the question asked, but NEITHER statement ALONEis sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the questionasked.e)Statements (1) and (2) TOGETHER are NOT sufficient toanswer the question asked, and additional data specific to theproblem are neededCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for A shopkeeper purchased 20 identical units of an item at a cost of $20 per unit. He sold some of the units at a price of $x per unit and the remaining units at $y per unit. What was his gross profit made by selling the 20 units of the item?(1) The number of units sold at $x per unit was 12(2) The total revenue generated by selling the 20 units was $880a)Statement (1) ALONE is sufficient, but statement (2) alone isnot sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone isnot sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient toanswer the question asked, but NEITHER statement ALONEis sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the questionasked.e)Statements (1) and (2) TOGETHER are NOT sufficient toanswer the question asked, and additional data specific to theproblem are neededCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of A shopkeeper purchased 20 identical units of an item at a cost of $20 per unit. He sold some of the units at a price of $x per unit and the remaining units at $y per unit. What was his gross profit made by selling the 20 units of the item?(1) The number of units sold at $x per unit was 12(2) The total revenue generated by selling the 20 units was $880a)Statement (1) ALONE is sufficient, but statement (2) alone isnot sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone isnot sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient toanswer the question asked, but NEITHER statement ALONEis sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the questionasked.e)Statements (1) and (2) TOGETHER are NOT sufficient toanswer the question asked, and additional data specific to theproblem are neededCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice A shopkeeper purchased 20 identical units of an item at a cost of $20 per unit. He sold some of the units at a price of $x per unit and the remaining units at $y per unit. What was his gross profit made by selling the 20 units of the item?(1) The number of units sold at $x per unit was 12(2) The total revenue generated by selling the 20 units was $880a)Statement (1) ALONE is sufficient, but statement (2) alone isnot sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone isnot sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient toanswer the question asked, but NEITHER statement ALONEis sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the questionasked.e)Statements (1) and (2) TOGETHER are NOT sufficient toanswer the question asked, and additional data specific to theproblem are neededCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice GMAT tests.
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