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 7 of 13.

Boomersimhan said:   1 year ago
x+y+z = 98;
x/y = 2/3;
y/z = 5/8;

2y/3 + y/1 + 8y/5 = 98;

By Solving these;
49y/15 = 98,
y = 15*2,
y = 30.
(34)

Vaibhav said:   7 years ago
x + y + z = 98,
2y/3 + y + 8y/5 = 98,
5y/3 + 8y/5 = 98,
25y/15 + 24y/15 = 98,
49y/15 = 98,
y = 98 * 15/49,
y = 30.

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.

Avinash dhanvijay said:   6 years ago
2 3:5 8
10 15 24.

Therefore 10+15+24 = 49 then 98/49,
X = 2.
Now 2nd no = 15 * 2 = 30 ans.

Rahul kumar said:   6 years ago
x:y:z
2:3:3 ~1
5:5:8 ~2
Then multiply 1 and 2 we get 10:15:24.

10+15+24 = 98.
49 = 98.
1 = 2.
15x2 = 30.

Dennis said:   9 years ago
@Ankur Saxena,

Good job your method has a different approach to the question. Thanks for explaining it.

Nena said:   1 decade ago
I have a question please solve it. If A:B=2:3, B:C=4:5, and C:D= 6:7 then find the value of A:B:C:D.

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?

Murali said:   1 decade ago
If a:b:c=2:3:5 then the ratio of (b+c)/4:(c+a)/4:(a+b)/4 is?
Can any one give answer for this....

Dhanakar said:   5 years ago
2:3
--5:8
_______
10:15:24
________
Now total sum is 98.
Then 10+15+24=49.
(98*15/49)=(2*15)=30.


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