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Numerical Ability
Ratio and Proportion
The ratio between the boys and girls in a class in 6:5 if 8 more boys join the class and two girls leave the class then the ratio becomes 11: 7 What is the number of boys in the class now?
Option
(a) 28
(b) 38
(c) 44
(d) 36
(e) None of these
Read Solution (Total 14)
-
- 44
Let the number of boys and girls at first be x and y
x/y = 6/5
5x = 6y
x = 6y/5
(x+8)/(y-2) = 11/7
7x + 56 = 11y - 22
42y/5 + 56 = 11y - 22
13/5*y = 78
y = 30
x = 36
Number of boys in the class at present = 36+8 = 44
- 10 years agoHelpfull: Yes(17) No(0)
- (6x+8)/(5x-2)=11/7
42x+56=55x-22
x=6
so
6(6)+8=44 - 10 years agoHelpfull: Yes(10) No(0)
- suppose boys 6x
girls 5x
(6x+8/5x-2)=11/7
x=6
no. of boys= 6x+8=44
ans is c - 10 years agoHelpfull: Yes(2) No(0)
- 6x+8/5x-2=11/7
x=6
boys=6x=6*6=36
ans.d - 9 years agoHelpfull: Yes(1) No(5)
- ans : 44
6x+8/5x-2=11/7
x=6
6x+8=44 - 9 years agoHelpfull: Yes(1) No(0)
- (c) 44
let, the number of boys= x
girls=y
according to the given infromation, the ratio be-
x/y=6/5 ---------(1)
After joining of 8 boys and leave of 2 girls-
(x+8)/(y-2)=11/7 ............ (2)
By solving the equation (1) and (2), u'll get....
x=36 and for finding the final number of boys add 8,
So, the answer wil be 36+8=44. - 9 years agoHelpfull: Yes(1) No(0)
- 11:7
11/18x6
3x11
33 - 8 years agoHelpfull: Yes(1) No(0)
- MAY BE THE TIME TAKING PROCESS BUT ANS IS SURE CORRECT
B/G=6/5; (B+8)/(G-2)=11/7;
=>G=(5B/6); {(B+8)/[(5G/6)-2]}=11/7;
=>(6B+48)/(5B-12)=11/7;
=>42B+336=55B-132;
=>13B=468
=>B=36(ANS) - 9 years agoHelpfull: Yes(0) No(1)
- 6x+8/5x-2=11/7
42x+56=55x-22
14x=78
x=78/14
x=6
6x= 6*6=36
6x+8=36+8=44
total boys= 44
- 9 years agoHelpfull: Yes(0) No(0)
- let 'x' be common factor,
BEFORE CHANGE:
No.of girls in the class =5x,
No.of boys in the class=6x,
AFTER CHANGE:
No.of girlsin the class=5x-2,
No.ofboys in the class=6x+8,
NEW RATIO:
(6x+8)/(5x-2)=11/7,
then x=6,
total no.of boys (AFTER CHANGE) =44,
total no.of boys(BEFORE CHANGE)=36,
ANS:44
- 9 years agoHelpfull: Yes(0) No(0)
- let 'x' be common factor,
BEFORE CHANGE:
No.of girls in the class =5x,
No.of boys in the class=6x,
AFTER CHANGE:
No.of girlsin the class=5x-2,
No.ofboys in the class=6x+8,
NEW RATIO:
(6x+8)/(5x-2)=11/7,
then x=6,
total no.of boys (AFTER CHANGE) =44,
total no.of boys(BEFORE CHANGE)=36,
ANS:44
- 9 years agoHelpfull: Yes(0) No(0)
- let 'x' be common factor,
BEFORE CHANGE:
No.of girls in the class =5x,
No.of boys in the class=6x,
AFTER CHANGE:
No.of girlsin the class=5x-2,
No.ofboys in the class=6x+8,
NEW RATIO:
(6x+8)/(5x-2)=11/7,
then x=6,
total no.of boys (AFTER CHANGE) =44,
total no.of boys(BEFORE CHANGE)=36,
ANS:44
- 9 years agoHelpfull: Yes(0) No(0)
- let 'x' be common factor,
BEFORE CHANGE:
No.of girls in the class =5x,
No.of boys in the class=6x,
AFTER CHANGE:
No.of girlsin the class=5x-2,
No.ofboys in the class=6x+8,
NEW RATIO:
(6x+8)/(5x-2)=11/7,
then x=6,
total no.of boys (AFTER CHANGE) =44,
total no.of boys(BEFORE CHANGE)=36,
ANS:44
- 9 years agoHelpfull: Yes(0) No(0)
- 38 because 8 are increased
- 7 years agoHelpfull: Yes(0) No(0)
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