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.
Rashmi said:
9 years ago
@Rajkumar.
Thanks for giving the best and the most simple way to solve this question.
Thanks for giving the best and the most simple way to solve this question.
Ayush Jain said:
9 years ago
Given,
A : B : C = 98.
A : B = 2 : 3 ---------------> Eq.1.
B : C = 5 : 8 ---------------> Eq.2.
Now Multiply Eq.1 by 5 and Eq.2 by 3 to get B common;
Then,
A : B = 10 : 15.
B : C = 15 : 24.
Then, A : B : C = 10 : 15 : 24.
So, 10X + 15X + 24X = 98.
49X = 98.
X = 2.
Then, the Second Number is 15X.
i.e B = 15 * 2 = 30 => Ans.
A : B : C = 98.
A : B = 2 : 3 ---------------> Eq.1.
B : C = 5 : 8 ---------------> Eq.2.
Now Multiply Eq.1 by 5 and Eq.2 by 3 to get B common;
Then,
A : B = 10 : 15.
B : C = 15 : 24.
Then, A : B : C = 10 : 15 : 24.
So, 10X + 15X + 24X = 98.
49X = 98.
X = 2.
Then, the Second Number is 15X.
i.e B = 15 * 2 = 30 => Ans.
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.
Niroj kumar sahooo said:
9 years ago
Thank you @Alisha.
Shubham said:
9 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?
Waqar Ahmad said:
9 years ago
Well explained @Alisha.
Ankit said:
9 years ago
Why multiply with 8x3 as we multiply first two with 5?
Prince said:
9 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.
AJAY said:
9 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.
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.
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