# Lesson Examples of Ratio and Proportions

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 This Lesson (Examples of Ratio and Proportions) was created by by Shruti_Mishra(0)  : View Source, ShowAbout Shruti_Mishra: I am a maths graduate from India and am currently persuing masters in Operations Research. Q1. If 4:36::x:63, then find the value of x. A1. 4:36::x:63 --> --> --> x=7 Q2. If a:b = 3:5, b:c = 5:7, c:d = 14:3. Find a:d A2. Q3. Compare the ratios 3:5 and 2:3. A3. The LCM of 5 and 3 is 15. 3:5 = 9:15 2:3 = 10:15 Since 10:15>9:15, thus 2:3 is greater than 3:5 Q4. If a:b=3:4, b:c=5:7, c:d= 11:13, then compare a,b c and d A3. a:b = 3:4, therefore a < b b:c = 5:7, therefore b < c c:d = 11:13 therefore c < d Hence a < b < c < d Q5. The ratio between two quantities is 3:7. If first quantity is 15, find the second one. A5. Let the second quantity be x. Thus 3:7 = 15:x Since Product of Extremes = Product of Means 3x = 15*7 => x = 15/3*7 = 5*7 = 35 Q6. Two numbers are in ratio 3:7. The difference between the numbers is 36. Find the numbers. A6. Let the numbers be 3x and 7x. Thus the ratio is 3:7. The difference between them would be 7x-3x = 4x. Given that the difference is 36, we get 4x = 36 => x = 9 Thus the numbers are 3x and 7x which means 27 and 63. Q7. Two vessels of equal volume have milk and water in the ratio 3:2 and 3:7. The vessels are then mixed. Find the ratio of milk and water in the mixture. A7. Let the volume be 1000ml. The first vessel would have milk = ml The second vessel would have milk = ml Thus total milk in mixture = 400+300 = 700ml Total water in the mixture = 2*1000 - 700 = 1300ml Ratio of Milk:Water = 700:1300 = 7:13 Q8. If A completes a work in 5 days and B completes the same work in 3 days, how long would it take to complete the work if both work together? A8. Rate of completion of work = 1/(Number of days taken) per day Rate at which A completes the work = 1/5 per day Rate at which B completes the work = 1/3 per day Rate at which both will completer the work together = per day. Thus time taken to complete the work = 1/(8/15) = 15/8 days This lesson has been accessed 25608 times.