
Elementary Math Fractions, Percentages, Word Problems, Equations, Inequations, Factorization, Expansion 
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November 1st, 2018, 09:05 PM  #1 
Senior Member Joined: Aug 2014 From: India Posts: 458 Thanks: 1  How to solve percentage problem based on marks?
In an examination, 80% of the boys passed in English and 85% passed in mathematics, while 75% passed in both. If 45 boys failed in both. The number of boys who sat for the examination was. Number of Boys pass % in English = 80% Number of Boys pass % in Maths = 75% Boys who passed in both English & Maths = 75% After this how to proceed? 
November 2nd, 2018, 12:24 AM  #2 
Senior Member Joined: Apr 2014 From: UK Posts: 954 Thanks: 342 
I'd start by working out what % failed both, since we have that as an actual number of boys. Since 80% passed English and 75% passed both, 5% passed English only. Since 85% passed Maths and 75% passed both, 10% passed Maths only. So, the % of boys who passed neither is All the boys minus those who passed both minus those who passed only one of the subjects: 100%  75%  5%  10% = 10% The next step should be easy.... 

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