Aptitude - Ratio and Proportion - Discussion
Discussion Forum : Ratio and Proportion - General Questions (Q.No. 9)
9.
The sum of three numbers is 98. If the ratio of the first to second is 2 :3 and that of the second to the third is 5 : 8, then the second number is:
Answer: Option
Explanation:
Let the three parts be A, B, C. Then,
| A : B = 2 : 3 and B : C = 5 : 8 = |  |
5 x | 3 |  |
: | |
8 x | 3 | |
= 3 : | 24 |
| 5 | 5 | 5 |
 A : B : C = 2 : 3 : |
24 | = 10 : 15 : 24 |
| 5 |
| B = |
|
98 x | 15 | |
= 30. |
| 49 |
Discussion:
122 comments Page 4 of 13.
Abhishek said:
1 decade ago
Now,the most easiest and trick method can be:
See, 2:3 and 5:8 are the ratios of First:Second and Second:Third,
So,the Second No. should be a multiple of 3 and 5.So,3*5=15,
Now, choose among the choices of answers,the correct one is [B]30.
30 is the multiple of 15(both 3 and 5)....
See, 2:3 and 5:8 are the ratios of First:Second and Second:Third,
So,the Second No. should be a multiple of 3 and 5.So,3*5=15,
Now, choose among the choices of answers,the correct one is [B]30.
30 is the multiple of 15(both 3 and 5)....
Babu said:
1 decade ago
Excellent Kalpa
Ranjani said:
1 decade ago
Nice aparna.
Akila said:
1 decade ago
Thanks kalpa! I understood easily.
Ashok Sarkar said:
1 decade ago
Thanks kalpa it's very easy to understand
Alisha said:
1 decade ago
a+b+c=98
a/b=2/3 and b/c=5/8 and hence
a=2b/3 and c=8b/5
so,
2b/3+8b/5+b=98
34b+15b=98*15
49b=98*15
and finally, b=(98*15)/49=30
a/b=2/3 and b/c=5/8 and hence
a=2b/3 and c=8b/5
so,
2b/3+8b/5+b=98
34b+15b=98*15
49b=98*15
and finally, b=(98*15)/49=30
Emani Karthik Reddy said:
1 decade ago
Sum of numbers Ax+Bx+Cx=98->1
Ratio of first to second 2:3
second to third 5:8
the ratio A:B::C:D=2:3::5:8
find the ratio A:B:C
i.e A:B:C=2:3::(5*(3/5)):(8*(3/5)).
new ratio is 2:3::3:24/5
A:B:C=2:3:24/5
A:B:c=10:15:24
from 1 we get
10x+15x+24x=98
x=2
second number =15*2=30.
Ratio of first to second 2:3
second to third 5:8
the ratio A:B::C:D=2:3::5:8
find the ratio A:B:C
i.e A:B:C=2:3::(5*(3/5)):(8*(3/5)).
new ratio is 2:3::3:24/5
A:B:C=2:3:24/5
A:B:c=10:15:24
from 1 we get
10x+15x+24x=98
x=2
second number =15*2=30.
Avijeet said:
1 decade ago
Thanks alisha.
You used awesome shortcut:).
You used awesome shortcut:).
Vicky singh said:
1 decade ago
Thanks kalpa for solve such easy method to this question.
Amit said:
1 decade ago
Hey thanks kalpa, its very easy to understand.
Post your comments here:
Quick links
Quantitative Aptitude
Verbal (English)
Reasoning
Programming
Interview
Placement Papers