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 10 of 13.
Ashwin Patil said:
8 years ago
a:b=2:3
c:d=5:8
The rule is that from ration & proportion becomes
a:b
------------
ac:bc:bd
from rule
2:3
------------
2x5:3x5:3x8
2:3
-------
10:15:24
Second no. be 98 x 15/43= 30.
c:d=5:8
The rule is that from ration & proportion becomes
a:b
------------
ac:bc:bd
from rule
2:3
------------
2x5:3x5:3x8
2:3
-------
10:15:24
Second no. be 98 x 15/43= 30.
Aisha said:
8 years ago
The sum of two numbers is 75 and their ratio is 3:2. Find the numbers. Please solve.
Sehrish Saleem said:
8 years ago
3+2= 5
75/5= 15
15*3= 45
15*2= 30
45+30=75
45:30 is numbers.
75/5= 15
15*3= 45
15*2= 30
45+30=75
45:30 is numbers.
Vinod said:
8 years ago
Great explanation, Thanks @Kalpa.
Sadeesh said:
7 years ago
@Vinni.
Your explanation is Best and easy to understand.
Your explanation is Best and easy to understand.
Lipan said:
7 years ago
Thanks @Ajay.
Pardhu said:
7 years ago
Thanks for the explanation @Shipra.
Uday said:
7 years ago
A+B+C=98
A:B=2:3
B:C=5:8
A:B:C=10:15:24
10X+15X+24X=98
then the valve of x = 2
Now, we need 2nd no then substitute the valve of x in B then 15*2=30.
A:B=2:3
B:C=5:8
A:B:C=10:15:24
10X+15X+24X=98
then the valve of x = 2
Now, we need 2nd no then substitute the valve of x in B then 15*2=30.
Akash said:
7 years ago
Great and easy Thanks @Alisha.
Ashok said:
7 years ago
a/b=2/3=>a=2/3*b.
b/c=5/8=>c/b=8/5=>c=8/5*b.
Given.
a+b+c=98.
2/3*b+b+8/5*b=98.
10b+15b+24b/15=98.
49b=98*15.
49b=49*2*15(98 has written as 49*2).
b=49*2*15/49.
b=15*2.
b=30.
b/c=5/8=>c/b=8/5=>c=8/5*b.
Given.
a+b+c=98.
2/3*b+b+8/5*b=98.
10b+15b+24b/15=98.
49b=98*15.
49b=49*2*15(98 has written as 49*2).
b=49*2*15/49.
b=15*2.
b=30.
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