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.
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.
Veena said:
1 decade ago
x:y=2:3 --->1
y:z=5:8 --->2
multiply with 5 in equation 1
10:15
in equation 2 multiply with 3
15:24
10:15:24
15--?
49--98
15/49x98=30
y:z=5:8 --->2
multiply with 5 in equation 1
10:15
in equation 2 multiply with 3
15:24
10:15:24
15--?
49--98
15/49x98=30
Sudip said:
5 years ago
1st : 2nd = 2:3
2nd : 3rd= 5:8
_____________________
1st:2nd:3rd = 2*5=10 : 3*5=15 : 3:8=24.
2nd number = 15/49*98,
= 30.
2nd : 3rd= 5:8
_____________________
1st:2nd:3rd = 2*5=10 : 3*5=15 : 3:8=24.
2nd number = 15/49*98,
= 30.
(2)
Aparna said:
1 decade ago
Look at the ratio:
10:15:24
here B's part is 15
and this 15 is out of 49(10+15+24)
just mutiply (15/49) by 98
to get the actual value of B
10:15:24
here B's part is 15
and this 15 is out of 49(10+15+24)
just mutiply (15/49) by 98
to get the actual value of B
Alisha said:
1 decade ago
a+b+c=98
a/b=2/3 and b/c=5/8 and hence
a=2b/3 and c=8b/5
so,
2b/3+8b/5+b=98
34b+15b=98*15
49b=98*15
and finally, b=(98*15)/49=30
a/b=2/3 and b/c=5/8 and hence
a=2b/3 and c=8b/5
so,
2b/3+8b/5+b=98
34b+15b=98*15
49b=98*15
and finally, b=(98*15)/49=30
Anjali sharma said:
9 years ago
It is very easy A : B = 2 : 3, B : C = 5 : 8.
Multiply this
2 3
5 8
_______
10 15 24
_________
Then, 98 * 15 / 49 = 30.
Multiply this
2 3
5 8
_______
10 15 24
_________
Then, 98 * 15 / 49 = 30.
Rupam said:
1 decade ago
A:B = 2:3.
B:C = 5:8.
(2:3)x5 = 10:15.
(5:8)x3 = 15:24.
A:B:C = 10:15:24.
So the second number(B) is: (98*15/49) = 30.
B:C = 5:8.
(2:3)x5 = 10:15.
(5:8)x3 = 15:24.
A:B:C = 10:15:24.
So the second number(B) is: (98*15/49) = 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.
Tejkumar Ch said:
6 years ago
A:B =2:3.
B:C = 5:8.
A:B:C = 10:15:24.
Therefore,
A=98*10/49;
B=98*15/49;
C=98*24/49;
Hence the result is easy.
B:C = 5:8.
A:B:C = 10:15:24.
Therefore,
A=98*10/49;
B=98*15/49;
C=98*24/49;
Hence the result is easy.
NITHI said:
6 years ago
2:3. 2*5=10. 5*3=15. 3*8=24
5:8. 15/49*98=30.
It is easy for time saving the exam.
5:8. 15/49*98=30.
It is easy for time saving the exam.
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