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Tips on cracking Aptitude Questions on Ratios and Proportions [ https://learningpundits.com/module-view/43-ratios-and-proportions/2-self-assessment-quiz-on-ratios-and-proportions/ ].<br><br> LearningPundits helps Job Seekers make great CVs [ https://learningpundits.com/module-view/1-cv-preparation-for-freshers/1-cv-writing-tips-for-freshers/ ] , master English Grammar and Vocabulary [ https://learningpundits.com/course/4-english-grammar/ ] , ace Aptitude Tests [ https://learningpundits.com/course/11-mathematical-aptitude/ ], speak fluently in a Group Discussion [ https://learningpundits.com/module-view/6-group-discussion-questions/1-tips-for-speaking-in-a-group-discussion/ ] and perform well in Interviews [ https://learningpundits.com/course/2-personal-interview/ ] We also conduct weekly online contests on Aptitude and English [ https://learningpundits.com/contest ]. We also allow Job Seekers to apply for Jobs [ https://learningpundits.com/applyForJobs ]
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3 TIPS on cracking Aptitude Questions on Ratios and Proportions
Tip #1: Express each element in the ratio as a fraction of the total for easy calculations Question: A sum of money is to be distributed among A, B, C, D in the proportion of 2 : 5 : 4 : 3. If C gets Rs. 2000 more than D, what is B's share? Solution: A = 2/14 * T B = 5/14 * T C = 4/14 * T D = 3/14 * T C – D = 2000 4/14 * T – 3/14 * T = 2000 T = 28000 => B = 5/14 * T = Rs. 10000
Tip #2: You can directly perform multiplication/ division operations on ratio elements Question: Seats for Mathematics, Physics and Biology in a school are in the ratio 5 : 7 : 8. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the ratio of increased seats? Solution: Before Proposal After Proposal Mathematics Seats 5/20 * T 5/20 * T * 1.4 Physics Seats 7/20 * T 7/20 * T * 1.5 Biology Seats 8/20 * T 8/20 * T * 1.75 Ratio after proposal = 5/20 * T * 1.4 : 7/20 * T * 1.5 : 8/20 * T * 1.75 = 5/20 * 1.4 : 7/20 * 1.5 : 8/20 * 1.75 {dividing by T} = 5 * 1.4 : 7 * 1.5 : 8 * 1.75 {multiplying by 20} = 7 : 10.5 : 14 = 2 : 3 : 4 {dividing by 3.5} As a quick shortcut, we can also directly multiply the ratio elements to determine the new ratio. Ratio after proposal (shortcut) = 5 * 1.4 : 7 * 1.5 : 8 * 1.75 = 2 : 3 : 4
Tip #3: Ensure that the units for the numerator and denominator match across the equation Question: Ken can walk 40 dogs in 8 hours. How many dogs can Ken walk in 12 hours? Solution: We assume that the number of dogs walked and the time taken are directly proportional. Number of dogs walked αTime taken Number of dogs walked = k * Time taken (k is some constant) Number of dogs walked / Time taken = k 40 / 8 = x / 12 where x is count of dogs walked in 12 hours In the above equation, numerator unit is dogs walked and denominator unit is time taken. Ensure that units match to avoid errors. => x = 60 dogs walked
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