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 13 of 13.
Kalpa said:
2 decades ago
Let 3 number are X,Y,Z
given X+Y+Z=98
X:Y::2:3 Y:Z::5:8
=> X/Y=2/3 =>Y/Z=5/8
=> X=2Y/3 =>Z=8Y/5
so,X+y+z=98
=>2Y/3+y+8Y/5=98
=>(10Y+15Y=24Y)/15=98
=>Y=1470/49
=>Y=30
so,2nd no. is 30.
given X+Y+Z=98
X:Y::2:3 Y:Z::5:8
=> X/Y=2/3 =>Y/Z=5/8
=> X=2Y/3 =>Z=8Y/5
so,X+y+z=98
=>2Y/3+y+8Y/5=98
=>(10Y+15Y=24Y)/15=98
=>Y=1470/49
=>Y=30
so,2nd no. is 30.
Mukesh said:
2 decades ago
How do we take 3:5 and why.
Explain how 8*3/5 came ? and why.
Explain how 8*3/5 came ? and why.
Rithesh said:
2 decades ago
See @mona
Here actually we use to find the ratio is the the ratio between c:a
Beacause already a:b & b:c are given
to find c:a
here we got 3:5 by
by taking the last digit in the ratio a:b 2:3 we took 3
by taking the first digit in the ratio b:c 5:8 we took 5
then mulltiply the
ratio numbers in b:c with 3/5 then we will get
Here actually we use to find the ratio is the the ratio between c:a
Beacause already a:b & b:c are given
to find c:a
here we got 3:5 by
by taking the last digit in the ratio a:b 2:3 we took 3
by taking the first digit in the ratio b:c 5:8 we took 5
then mulltiply the
ratio numbers in b:c with 3/5 then we will get
Mona said:
2 decades ago
Explain how 8*3/5 came ?
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