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4 mat-weavers can weave 4 mats in 4 days. At the same rate, how many mats would be woven by 8 mat-weavers in 8 days?
Let the required number of bottles be x.
More weavers, More mats (Direct Proportion)
More days, More mats (Direct Proportion)
x = 16.
If 36 men can do a piece of work in 25 hours, in how many hours will 10 men do it?
Let the required numbers of hours be X.
Less men, More hours (Indirect proportion)
Therefore, 10 : 36 :: 25 : X = (10 × X) = (36 × 25) = X = (36 × 25)/10 = 90.
Hence, 10 men can do it in 90 hours.
If 15 toys cost Rs. 545, what do 37 toys cost ?
Let the required cost be Rs. x.
More toys, More cost (Direct proportion)
Therefore 15 : 37 :: 545 : x
(15 × x) = (37 × 545)
x = (37 × 545)/15
= 1344.33
Hence, the cost of 37 toys is Rs. 1344.33
For a road work, a contractor was given a deadline to complete the work in 25 days. Hence, he employed a certain number of workers to accomplish the job. But from the very first day 9 workers were absent and the remaining workers could finish the work in 40 days. What number of workers did the contractor hired in the beginning?
Let the number of workers initially hired be x.
Hence, x workers can complete the work in 25 days and (x-9) workers can complete the work in 40 days.
Now, the number of men and the amount of work are in direct proportion and number of men and number of days in
indirect proportion.
x × 25 = (x – 9) × 40
25x = 40x – 360
15x = 360
x = 24
If a certain number of people can dig earth 100m deep, 25m long, and 30m broad in 12 days, then find the number of days the same number of people will require to dig earth 75m deep, 20m long and 50m broad.
More number of days means – more length, more depth and more width. Hence, it’s a direct proportion.
(100 × 25 × 30):(75 × 20 × 50)::12:x
75000:75000::12:x
x = 12
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