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:
124 comments Page 7 of 13.
Oronno said:
9 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:
9 years ago
Nice explanation @Ayush.
Thanks.
Thanks.
Arenotravis said:
9 years ago
@Nena.
A : B : C : D = 16 : 24 : 30 : 35.
A : B : C : D = 16 : 24 : 30 : 35.
Tarun dwivedi said:
9 years ago
Nice trick, Thank you @Alisha.
Dennis said:
9 years ago
@Ankur Saxena,
Good job your method has a different approach to the question. Thanks for explaining it.
Good job your method has a different approach to the question. Thanks for explaining it.
AJAY said:
10 years ago
A : B = 2 : 3
B : C = 5 : 8.
MAKE B EQUAL BY MUL WITH 5 AND 3.
5* 2 : 3 = 10 : 15
3* 5 : 8 = 15 : 24
CON
10:15:24
NOW 10X + 15 + 24 = 98;
X = 98/49;
FOR B
15 * 98/49 = 30 -> Answer.
B : C = 5 : 8.
MAKE B EQUAL BY MUL WITH 5 AND 3.
5* 2 : 3 = 10 : 15
3* 5 : 8 = 15 : 24
CON
10:15:24
NOW 10X + 15 + 24 = 98;
X = 98/49;
FOR B
15 * 98/49 = 30 -> Answer.
Prince said:
10 years ago
Of the three numbers, the ratio of first and second is 8:9 and that of second and third is 3:4. If the product of the third number is 2400, Find the second number?
Please help me to find the solution.
Please help me to find the solution.
Ankit said:
10 years ago
Why multiply with 8x3 as we multiply first two with 5?
Waqar Ahmad said:
10 years ago
Well explained @Alisha.
Shubham said:
10 years ago
@Anjali Sharma.
Please explain this,
98 * 15/49, from where this 49 come?
Please explain this,
98 * 15/49, from where this 49 come?
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