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:
20
30
48
58
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 8 of 13.

Sangamesh Angadi said:   7 years ago
Simply,

A:B=2:3 B:C=5:8.
Then A:B:C = 10 :15 :24.
so, 15 * 98/29.

It will come 30.

Rashmi said:   9 years ago
@Rajkumar.

Thanks for giving the best and the most simple way to solve this question.

Aisha said:   8 years ago
The sum of two numbers is 75 and their ratio is 3:2. Find the numbers. Please solve.

Shubham said:   9 years ago
@Anjali Sharma.

Please explain this,

98 * 15/49, from where this 49 come?

Ramesh said:   4 years ago
A : B : C.

2:3
---5: 8
2 * 5:3 * 5:3 * 8.

10:15:24
(15 * 98)/49 = 30.
(3)

Niraj Hazarika said:   5 years ago
A/B = 2/3 and B/C = 5/8.
But B = 3 also,
So, 3/C = 5/8 => C=24/5.
(2)

Deepi said:   1 decade ago
SEE This carefully
a:b1
- b2:c
-----------
a*b2:b1*b2:b1*c=a:b:c

Mukesh said:   1 decade ago
How do we take 3:5 and why.

Explain how 8*3/5 came ? and why.

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.

Sana said:   1 decade ago
Kalpa and Abhishek gave best n easy methods, thank you :).


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