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 5 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.
A:B=2:3 B:C=5:8.
Then A:B:C = 10 :15 :24.
so, 15 * 98/29.
It will come 30.
Mohammed Afnan said:
7 years ago
Let Assume,
A + B + C = 98
The ratio of the first to second is 2 :3,
Second to the third is 5 : 8.
That Time we Should be Equal the Common Ratio,
Here B is Common Ration.
so, First : Second = (2:3)*5 = 10:15.
Second:Third = (5:8)*3 = 15:24.
Final Ration First:Second:Third = 10:15:24 = 49.
Ratio = (Second Number Ratio / Total Ratio) * Total Amount.
Second Number = (15/49)/98.
Second Number = 30.
A + B + C = 98
The ratio of the first to second is 2 :3,
Second to the third is 5 : 8.
That Time we Should be Equal the Common Ratio,
Here B is Common Ration.
so, First : Second = (2:3)*5 = 10:15.
Second:Third = (5:8)*3 = 15:24.
Final Ration First:Second:Third = 10:15:24 = 49.
Ratio = (Second Number Ratio / Total Ratio) * Total Amount.
Second Number = (15/49)/98.
Second Number = 30.
Sk.Rahul Basha said:
7 years ago
A:B = 2:3.
2*5 = 10,3*5 = 15,3*8 = 24.
B:C = 5:8.
A:B:C = 10:15:24. 10+15+24 = 49.
B = 98*15/49 = 30.
2*5 = 10,3*5 = 15,3*8 = 24.
B:C = 5:8.
A:B:C = 10:15:24. 10+15+24 = 49.
B = 98*15/49 = 30.
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.
Akash said:
7 years ago
Great and easy Thanks @Alisha.
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.
Pardhu said:
7 years ago
Thanks for the explanation @Shipra.
Lipan said:
7 years ago
Thanks @Ajay.
Sadeesh said:
7 years ago
@Vinni.
Your explanation is Best and easy to understand.
Your explanation is Best and easy to understand.
Vinod said:
8 years ago
Great explanation, Thanks @Kalpa.
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