# Percents

 Categories : Percents Terry has some oranges. Out of that, 4% were thrown away, 80% of the remaining oranges were sold and he is now left with 96 oranges. What was the initial number of oranges with him?A) 100B) 200C) 300D) 350E) 400Solution: This is a Percentages question. Let us take variable X as the total number of initial oranges with Terry.Oranges thrown away: 4%*XRemaining oranges: 96%*XOranges sold: 80%*96%*XTotal oranges left: 96 orangesThe equation for total number of oranges is therefore,X – (4%*X + 80%*96%*X) = 96=> X – (0.04X + 0.8*0.96*X) = 96=> X - 0.77X = 96=> 0.23X = 96=> X = 300Correct Answer: CAbout the AuthorGyanOne is an... Categories : Change in percent, Percents At a contest with 1,500 participants, 1/2 of the people are aged 8 to 12. Next year, the number ofpeople aged 8 to 12 will increase by 1/3. After this change, what percentage of the total 1,500 people will the 8 to 12 year olds represent?A. 33%B. 40%C. 50%D. 55%E. 66.66%AnswerTotal Participants: 1500This Year: Ages 8 to 12 - 750Next Year: Ages 8 to 12 - 750 + 1/3 x 750 = 750 + 250 = 1000Choice E: The new percentage is 1,000/1,500, or 2/3, which corresponds to 66 2/3%. Categories : Percents The topic of percentages is one of the easiest that you will tackle on the GMAT. We are all accustomed to calculating percentages in our daily lives, and any potential question on this topic would seem to be a cakewalk to most. While that is generally true, there are also some traps and pitfalls that the GMAT will lay down for you. Be careful not to get caught in them! Here are some handy tips, tricks, and trap warnings to help you negotiate your way around GMAT questions on this topic: Error Type 1: Using the wrong base when calculating percentage changeThe percentage increase in a quantity when it is increased by a certain amount is [(new value – old value)/old value] x 100. Similarly the percentage decrease is [(old value-new value)/old value] x 100. This point seems to be fairly obvious. However, an exam situation can play tricks on anyone and cause them to make silly mistakes in a hurry. A common error involves taking the new value in the denominator. If the price of a product increases from 120 to 140, the percentage increase is (20/120)*100 = 16.67%, not (20/140)*100... One of the smallest and least noteworthy words in the English language, the word “of” is crucial to your success on the GMAT, on both the quantitative and verbal sides of the exam. It is of great importance that you recognize these two common appearances of, and traps set by, the word “of“:1) Sentence CorrectionIn Sentence Correction questions, the word “of” is usually employed as a modifier, which the GMAT often throws in to lengthen sentences and distract you from subject-verb agreement errors. Consider the following items:The number of applicants to business schools are increasing given the current economic climate.The House of Representatives are meeting this week to continue working on an environmental bill.In each instance, the subject is actually the singular noun before the word “of” – “of applicants to business schools” just tells us “which number?”, and “of Representatives” simply indicates “which House?”. The authors of the GMAT know that examinees are often unsure of which noun to choose as the subject; by using the word “of” to set up modifiers with multiple nouns, the writers can exacerbate this problem. If you...

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