Ratio & Proportion, General Mathematics

Question: If A : B = 5 : 7 and B : C = 6 : 11, then A : B : C is:
A
55 : 77 : 66

B
30 : 42 : 77

C
35 : 49 : 42

D
None

Note: A : B = 5 : 7 B : C = 6 : 11 = $6 xx 7/6 : 11 xx 7/6$ = $7 : 77/6$ $:. A : B : C = 5 : 7 : 77/6$ = 30 : 42 : 77
1. Report
Question: A man sold an article for tk 247.50.thereby gaining $(12) 1/2$ %. The cost of the article was:
A
Tk 225

B
Tk 224

C
Tk 220

D
Tk 210

Note: Here S.P = Tk 247.50, Loss=Tk $(25)/2$ %, So C.P= Tk $((100)/(100+(25)/2) xx 247.50)$ =Tk '(200)/225xx247.50' therefore C.P= Tk 220
1. Report
Question: If $p : q = 3 : 4$ and $q : r = 8 : 9$ , then $p : r$ is :
A
$1 : 3$

B
$3 : 2$

C
$2 : 3$

D
$1 : 2$

Note: $p/r = (p/q : q/r)$ $= 3/4 xx 8/9$ $= 2/3$ . so, $p : r = 2 : 3$ .
1. Report
Question: If $A : B = 8 : 15$ , $B : C = 5 : 8$ and $C : D = 4 : 5$ , then $A : D$ is equal to :
A
$2 : 7$

B
$4 : 15$

C
$8 : 15$

D
$15 : 4$

Note: $A/D = (A/B xx B/C xx C/D)$ $= (8/15 xx 5/8 xx 4/5)$ $= 4/ 15$ . so, $A : D = 4 : 15$ .
1. Report
Question: The ration $4^3.5 : 2^5$ is the same as:
A
$4 : 1$

B
$2 : 1$

C
$7 : 5$

D
$7 : 10$

Note: $4^3.5 : 2^5 = (2^2)^(7/2) : 2^5$ $= 2^7 : 2^5$ $=2^2 : 1$ $=4 : 1$ . [Dividing each term by $2^5$ ]
1. Report
Question: If $15%$ of $x$ is the same as $20%$ of $y$ then $x : y$ is :
A
$3 : 4$

B
$4 : 3$

C
$17 : 16$

D
$16 : 17$

Note: $15%$ of $x = 20%$ of, $y$ $iff$ $(15x)/100$ $= (20y)/100$ $iff$ $x/y$ $= 4/3$ .
1. Report
Question: If $7 : x = 17.5 : 22.5$ , then the value of $x$ is :
A
$9$

B
$7.5$

C
$6$

D
$5.5$

Note: $7 xx 22.5 = x xx 17.5$ $iff$ $x =(7 xx 22.5)/(17.5)$ $iff$ $x = 9$ .
1. Report
Question: If $1/5 : 1/x = 1/x : 1/(1.25)$ , the value of $x$ is :
A
$1.5$

B
$2$

C
$2.5$

D
$3.5$

Note: $1/5 xx 1/(1.25) = 1/x^2$ $iff$ $x^2 = 5 xx 1.25$ $iff$ $x^2 = 6.25$ $iff$ $x = 2.5$ .
1. Report
Question: If $0.4 : 1.4 :: 1.4 : x$ , the value of $x$ is :
A
$49$

B
$4.9$

C
$0.49$

D
$0.4$

Note: $0.4 xx x = 1.4 xx 1.4$ $iff$ $x = (1.4 xx 1.4)/0.4$ $= (14 xx 14)/40$ $= 4.9$ .
1. Report
Question: The compounded ration of $(2 : 3)$ , $(6 : 11)$ and $(11 : 2)$ is :
A
$1 : 2$

B
$2 : 1$

C
$11 : 24$

D
$36 : 121$

Note: Required ratio $= 2/3 xx 6/11 xx 11/2$ $= 2/1$ , $= 2: 1$
1. Report

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Question: If A : B = 5 : 7 and B : C = 6 : 11, then A : B : C is:

Question: A man sold an article for tk 247.50.thereby gaining $(12) 1/2$ %. The cost of the article was:

Question: If $p : q = 3 : 4$ and $q : r = 8 : 9$ , then $p : r$ is :

Question: If $A : B = 8 : 15$ , $B : C = 5 : 8$ and $C : D = 4 : 5$ , then $A : D$ is equal to :

Question: The ration $4^3.5 : 2^5$ is the same as:

Question: If $15%$ of $x$ is the same as $20%$ of $y$ then $x : y$ is :

Question: If $7 : x = 17.5 : 22.5$ , then the value of $x$ is :

Question: If $1/5 : 1/x = 1/x : 1/(1.25)$ , the value of $x$ is :

Question: If $0.4 : 1.4 :: 1.4 : x$ , the value of $x$ is :

Question: The compounded ration of $(2 : 3)$ , $(6 : 11)$ and $(11 : 2)$ is :

Question: If A : B = 5 : 7 and B : C = 6 : 11, then A : B : C is:

Question: A man sold an article for tk 247.50.thereby gaining (12)12(12) 1/2%. The cost of the article was:

Question: If p:q=3:4p : q = 3 : 4 and q:r=8:9q : r = 8 : 9, then p:rp : r is :

Question: If A:B=8:15A : B = 8 : 15, B:C=5:8B : C = 5 : 8 and C:D=4:5C : D = 4 : 5, then A:DA : D is equal to :

Question: The ration 43.5:254^3.5 : 2^5 is the same as:

Question: If 15%15%of xx is the same as 20%20% of yy then x:yx : y is :

Question: If 7:x=17.5:22.57 : x = 17.5 : 22.5, then the value of xx is :

Question: If 15:1x=1x:11.251/5 : 1/x = 1/x : 1/(1.25), the value of xx is :

Question: If 0.4:1.4::1.4:x0.4 : 1.4 :: 1.4 : x, the value of xx is :

Question: The compounded ration of (2:3)(2 : 3),(6:11)(6 : 11) and (11:2)(11 : 2)is :

Question: A man sold an article for tk 247.50.thereby gaining $(12) 1/2$ %. The cost of the article was:

Question: If $p : q = 3 : 4$ and $q : r = 8 : 9$ , then $p : r$ is :

Question: If $A : B = 8 : 15$ , $B : C = 5 : 8$ and $C : D = 4 : 5$ , then $A : D$ is equal to :

Question: The ration $4^3.5 : 2^5$ is the same as:

Question: If $15%$ of $x$ is the same as $20%$ of $y$ then $x : y$ is :

Question: If $7 : x = 17.5 : 22.5$ , then the value of $x$ is :

Question: If $1/5 : 1/x = 1/x : 1/(1.25)$ , the value of $x$ is :

Question: If $0.4 : 1.4 :: 1.4 : x$ , the value of $x$ is :

Question: The compounded ration of $(2 : 3)$ , $(6 : 11)$ and $(11 : 2)$ is :