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 6 of 13.
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.
Aisha said:
8 years ago
The sum of two numbers is 75 and their ratio is 3:2. Find the numbers. Please solve.
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.
Akash said:
8 years ago
1st no:2nd =2:3= (2*5) : (3*5). 10:15. 5:8= (5*3) : (8*3) 15:24 then 1st no:2nd no : 3rd no= 10:15:24 so second no = 15÷10+15+24 * 98 = 30.
BIPLAB said:
8 years ago
Thanks @Aparna.
Ravi said:
8 years ago
If a - b : b - c : c - d = 1 : 2 : 3, then what is the value of (a + d) : c? Can anyone solve this?
S.Narayana said:
8 years ago
We have 2:3 & 5:8 but in this question, they only three numbers are there so that let us take a,b,c.
2
3-a
5-b
8-c
So that 3+5+8=16.
16 = 98.
5 = ?.
5 * 98/16 = 30approx.
2
3-a
5-b
8-c
So that 3+5+8=16.
16 = 98.
5 = ?.
5 * 98/16 = 30approx.
AMARANATHAREDDY said:
8 years ago
a : b : c = 98.
a:b = 2:3.
b:c = 5:8.
a = 2/3b.
c = 8/5b.
a:b:c = 98,
2/3:b:8/5 = 98,
10b:15b:24b = 98,
b = 30.
a:b = 2:3.
b:c = 5:8.
a = 2/3b.
c = 8/5b.
a:b:c = 98,
2/3:b:8/5 = 98,
10b:15b:24b = 98,
b = 30.
Oronno said:
8 years ago
Let, first numbr=a.
2nd numbr=b.
3rd numbr=c.
Given that,
a:b=2:3
b:c=5:8
So,
a:b=2:3=5*2:5*3=10:15
b:c=5:8=3*5:3*8=15:24.
Then,
a:b:c=10:15:24 ( multiply by 2)
a:b:c=20:30:48.
Ans=30.
2nd numbr=b.
3rd numbr=c.
Given that,
a:b=2:3
b:c=5:8
So,
a:b=2:3=5*2:5*3=10:15
b:c=5:8=3*5:3*8=15:24.
Then,
a:b:c=10:15:24 ( multiply by 2)
a:b:c=20:30:48.
Ans=30.
Ayeshu said:
8 years ago
Nice explanation @Ayush.
Thanks.
Thanks.
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