Aptitude - Ratio and Proportion - Discussion
Discussion Forum : Ratio and Proportion - General Questions (Q.No. 2)
2.
Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers is:
Answer: Option
Explanation:
Let the third number be x.
| Then, first number = 120% of x = | 120x | = | 6x |
| 100 | 5 |
| Second number = 150% of x = | 150x | = | 3x |
| 100 | 2 |
 Ratio of first two numbers = |
 |
6x | : | 3x |  |
= 12x : 15x = 4 : 5. |
| 5 | 2 |
Discussion:
134 comments Page 3 of 14.
Katyani said:
9 months ago
Very helpful. Thanks everyone.
(10)
Samm said:
4 years ago
How to solve if we have been asked the 2nd number is greater than 100.
Like, Two numbers are respectively 40% and 110% more than a third number. The ratio of the two numbers is:?
Anyone, please help me.
Like, Two numbers are respectively 40% and 110% more than a third number. The ratio of the two numbers is:?
Anyone, please help me.
(9)
Apeksha Puppalwar said:
1 year ago
Consider third number as X.
The question say's that 1st number is 20% more than the third number means a = 20%X + X.
Similarly,
Second number = b = 50%X + X,
a/b = 0.2X + X/0.5X + X,
= X(0.2 + 1)/X(0.5 + 1),
= 1.2/1.5.
= 4/5.
The question say's that 1st number is 20% more than the third number means a = 20%X + X.
Similarly,
Second number = b = 50%X + X,
a/b = 0.2X + X/0.5X + X,
= X(0.2 + 1)/X(0.5 + 1),
= 1.2/1.5.
= 4/5.
(7)
Vin said:
1 year ago
Thanks everyone for explaining the answer.
(6)
N.PRASANTH said:
4 years ago
120/100:150/100
= 120:150,
= 12:15,
= 4:5.
= 120:150,
= 12:15,
= 4:5.
(4)
Ganapathy said:
2 decades ago
Let third no be 100.
the first no is 20% more than third so 120
similarly
second no is 50% more than third so 150
just compare
120:150
4:5
the first no is 20% more than third so 120
similarly
second no is 50% more than third so 150
just compare
120:150
4:5
(2)
Manishanaveen said:
9 years ago
The third number be x.
Let a and b are two numbers with more than 20% and 50% of x.
a = x + 20%x.
b = x + 50%x.
We should find ratio a : b.
a/b = (x + 20%x)/(x + 50%x) we know % converted into (/100),
a/b = (x + 20x/100)/(x + 50x/100),
so we get a/b = (100x + 20X/100x + 50x).
a/b = (120x/150x)
a/b = 4/5.
Ratio of a = 4 and b = 5.
Shortcut: So just us 100 as x for removing %
a =100 + 20.
b =100 + 50.
a : b = 120 : 150.
And hence a/b = 12/15.
a/b = 4 : 5
Let a and b are two numbers with more than 20% and 50% of x.
a = x + 20%x.
b = x + 50%x.
We should find ratio a : b.
a/b = (x + 20%x)/(x + 50%x) we know % converted into (/100),
a/b = (x + 20x/100)/(x + 50x/100),
so we get a/b = (100x + 20X/100x + 50x).
a/b = (120x/150x)
a/b = 4/5.
Ratio of a = 4 and b = 5.
Shortcut: So just us 100 as x for removing %
a =100 + 20.
b =100 + 50.
a : b = 120 : 150.
And hence a/b = 12/15.
a/b = 4 : 5
(2)
Divith said:
2 years ago
Nice, thanks everyone for explanation.
(2)
SHEETAL said:
2 decades ago
Suppose the 3rd no is X.
so 1st no will be X*1.2.
&2nd no will be X*1.5.
so the ratio is 1.2:1.5,
Hence 4:5
so 1st no will be X*1.2.
&2nd no will be X*1.5.
so the ratio is 1.2:1.5,
Hence 4:5
(1)
Xyz said:
1 decade ago
20%=1/5
50%=1/2
So ratio should be equal to 1/5:1/2
Ans= 2:5 ?
50%=1/2
So ratio should be equal to 1/5:1/2
Ans= 2:5 ?
(1)
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