# Ratio & Proportion

There are four numbers in the ratio of 1:2:3:4. The sum of these four numbers is 16, then sum of first and fourth number is :

[A]5

[B]8

[C]10

[D]80

**8**

Sum of first and fourth number is :

Hence option [B] is the right answer.

If and , Then x:y:z is equals to :

[A]3:2:1

[B]1:2:6

[C]1:3:6

[D]2:4:6

**1:3:6**

and

Hence option [C] is the right answer.

Find the mean propotional to 6 and 24;

[A]16

[B]12

[C]8

[D]20

**12**

Mean propotional between 6 and 24 =

Hence option [B] is the right answer.

If 0.75:x::5:8, Then find x

[A]1.6

[B]0.46

[C]1.2

[D]0.48

**1.2**

Because we know that :-

Product of means = Product of extremes

Thus, a:b::c:d<=>

So in this question we can write:

If a:b=5:9 and b:c=6:11; Then Find a:c

[A]11:34

[B]10:33

[C]12:33

[D]None of these

**10:33**

=> a:c=10:31

Hence option [B] is the right answer.

If a:b=5:9 and b:c=6:11; Then Find a:b:c

[A]5:6:11

[B]5:9:11

[C]10:18:11

[D]10:18:33

**10:18:33**

Hence option [A] is the right answer.

If a:b=5:7, find (3a+5b):(5a-2b)

[A]50:9

[B]40:9

[C]50:11

[D]40:11

**50:11**

Hence option [C] is the right answer.

If and , then find a:b:c:d

[A]56:84:30:30

[B]16:24:30:35

[C]56:24:30:30

[D]56:24:30:35

**16:24:30:35**

and

=> and

=> and

=> and

=>

Hence option [B] is the tight answer.

Devide 675 Rs. in the ratio 5:4

[A]300, 375

[B]325, 350

[C]340, 335

[D]375, 300

**375, 300**

Sum of ratio terms : (5+4)=9

First Part = =375 Rs.

And Second part = =300 Rs.

Hence option [D] is the right answer.

Devide 952 Rs. among a, b, c in the ratio 37:18:13

[A]502, 252, 198

[B]502, 260, 190

[C]518, 252, 182

[D]518, 234, 200

**518, 252, 182**

Sum of ratio terms:37+18+13=68.

A’s share==518 Rs.

B’s share==252 Rs.

C’s share==182 Rs.

Hence option [C] is the right answer.