More machines, More bottles (Direct Proportion)
More minutes, More bottles (Direct Proportion)
Machines | 6 | : | 10 | ] | :: 270 : x |
Time (in minutes) | 1 | : | 4 |
∴ 6 x 1 x x = 10 x 4 x 270
⟹ x = | (10 x 4 x 270) |
(6) |
⟹ x = 1800.
Less weight, Less cost (Direct Proportion)
∴ 250 : 200 :: 60 : x ⟺ 250 x x = (200 x 60)
⟹ x= | (200 x 60) |
250 |
⟹ x = 48.
Suppose 125 men had food for x days.
Now, Less men, More days (Indirect Proportion)
∴ 125 : 150 :: 35 : x ⟺ 125 x x = 150 x 35
⟹ x = | 150 x 35 |
125 |
⟹ x = 42.
Work done = | 5 |
8 |
Balance work = | ❨ | 1 - | 5 | ❩ | = | 3 |
8 | 8 |
Let the required number of days be x.
Then, | 5 | : | 3 | = :: 10 : x | ⟺ | 5 | x x = | 3 | x 10 |
8 | 8 | 8 | 8 |
⟹ x = | ❨ | 3 | x 10 x | 8 | ❩ |
8 | 5 |
⟹ x = 6.
Less persons, More days (Indirect Proportion)
More working hours per day, Less days (Indirect Proportion)
Persons | 30 | : | 39 | ] | :: 12 : x |
Working hours/day | 6 | : | 5 |
∴ 30 x 6 x x = 39 x 5 x 12
⟹ x = | (39 x 5 x 12) |
(30 x 6) |
⟹ x = 13.
Let the required length be x meters
More men, More length built (Direct proportion)
Less days, Less length built (Direct Proportion)
=> (20 x 6 x X)=(35 x 3 x 56)
=> x = 49
Hence, the required length is 49 m.
Originally let there be x men.
Less men, More days (Indirect Proportion)
Therefore, (x-10) : x :: 100 :110
=> (x - 10) * 110 = x * 100 => x= 110
Let the required no of hours be x. Then
Less men , More hours (Indirct Proportion)
Therefore, 15:36 ::25:x
=> (15 x X)=(36 x 25) => x = 60
Hence, 15 men can do it in 60 hours.
(2 x 14) men +(7 x 14) boys = (3 x 11) men + (8 x 11) boys
=>5 men= 10 boys => 1man= 2 boys
Therefore, (2 men+ 7 boys) = (2 x 2 +7) boys = 11 boys
( 8 men + 6 boys) = (8 x 2 +6) boys = 22 boys.
Let the required number of days be x.
More boys , Less days (Indirect proportion)
More work , More days (Direct proportion)
Therefore, (22 * 1 * x) = (11 * 3 * 14)
=> x = 21
Hence, the required number of days = 21
Let the required number days be x.
Less spiders, More days (Indirect Proportion)
Less webs, Less days (Direct Proportion)
=> 1 * 7 * x = 7 * 1 * 7
=> x= 7
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