Syntel
Company
Numerical Ability
Ratio and Proportion
If 12 men and 16 boys can do a piece of work in 5 days; 13 men and 24 boys can do it in 4 days, then the ratio of the daily work done by a man to that of a boy is:
1. 2 : 1
2. 3 : 1
3. 3 : 2
4. 6 : 7
Read Solution (Total 3)
-
- (12m+16b)*5 : (13m+24b)*4
60m+80b : 52m+96b
60m-52m : 92b-80b
8m : 16b
m/b : 2/1
so, Ans is 2:1 - 10 years agoHelpfull: Yes(12) No(0)
- 1 man's 1 day work = 1/x
12 men's 1 day work = 12/x
13 men's 1 day work = 13/x
1 boy's 1 day work = 1/y
16 boy's 1 day work = 16/y
24 boy's 1 day work = 24/y
12/x+16/y = 1/5--------------1
13/x+24/y = 1/4--------------2
SOLVING 1 AND 2
we get x = 100 and y = 200
Ratio of daily work done by man to dat of a boy = 1/x : 1/y
= 1/100 : 1/200
= 2 : 1 - 10 years agoHelpfull: Yes(5) No(0)
- 12M+16B=1/5
13M+24B=1/4
12M+16B=(1/4)*(4/5)
12M+16B=4/5(13M+24B)
60M+80B=52M+96B
M/B=2:1 - 8 years agoHelpfull: Yes(1) No(2)
Syntel Other Question