#### Ratio MCQ Questions and answers-

##### 1. If a:b = 2:3 and b:c = 4:3, then find a:b:c
Explanation:
```
a:b=2:3b:c=4:3=(4∗34:3∗34)=3:94a:b:c=2:3:94=8:12:9
```

##### 2. Find the fourth proportion to 2,3,6
Explanation:
```2:3 :: 6:x

=> 2/3 = 6/x
=> x = 18/2
=> x = 9
```

##### 3.If A:B:C = 2:3:4, then find A/B:B/C:C/A
Explanation:
```Let A = 2x, B = 3x, C = 4x, then,
AB=2x3x=23BC=3x4x=34CA=4x2x=21=>AB:BC:CA=23:34:21=8:9:24
```

##### 4. . If A:B = 2:3, B:C = 4:5 and C:D = 6:7, then find the value of A:B:C:D
```A:B=2:3B:C=4:5=(4∗34:5∗34)=3:154C:D=6:7=(6∗1524:7∗1524)=154:358A:B:C:D=2:3:154:358=16:24:30:35=8:12:9
```

##### 5. If 2 : 9 :: x : 18, then find the value of x
```Treat 2:9 as 2/9 and x:18 as x/18, treat :: as =

So we get 2/9 = x/18
=> 9x = 36
=> x = 4
```

##### 6. if x:y = 1:3, then find the value of (7x+3y):(2x+y)
Explanation:
```let x = 1k and y = 3k, so
=7(k)+3(3k)2(k)+1(3k)=16k5k=16:5
```

##### 7. The salaries of A, B and C are of ratio 2:3:5. If the increments of 15%, 10% and 20% are done to their respective salaries, then find the new ratio of their salaries.
Explanation:
```Let A salary be 2k
B salary be 3k and C salary be 5k

A's new salary = 115100∗2k=2310kB's new salary = 110100∗3k=3310kC's new salary = 120100∗5k=6kNew ratio = 23k10:33k10:6k=23:33:60
```
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