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:
137 comments Page 3 of 14.
Shakti said:
4 years ago
Let 3rd number is "c" and the 1st and 2nd is;
A,B.
Then,
A is the 20% more than c.
Means A = c+20%c.
= c+.2c.
= 1.2c.
Same hear,
B is the 50% more than of c.
Means. B = c + 50%c.
= c + .5c,
= 1.5c.
Then the 2 number ratio is,
A:B = 1.2c:1.5c.
(Multiply in both sides 10 to avoid the decimal point)
1.2c * 10:1.5c * 10.
12c:15c,
4:5.
A,B.
Then,
A is the 20% more than c.
Means A = c+20%c.
= c+.2c.
= 1.2c.
Same hear,
B is the 50% more than of c.
Means. B = c + 50%c.
= c + .5c,
= 1.5c.
Then the 2 number ratio is,
A:B = 1.2c:1.5c.
(Multiply in both sides 10 to avoid the decimal point)
1.2c * 10:1.5c * 10.
12c:15c,
4:5.
(11)
Apeksha Puppalwar said:
2 years 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.
(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)
Vin said:
2 years ago
Thanks everyone for explaining the answer.
(8)
N.PRASANTH said:
5 years ago
120/100:150/100
= 120:150,
= 12:15,
= 4:5.
= 120:150,
= 12:15,
= 4:5.
(4)
Abii said:
2 months ago
@Suhel Patel.
How did you take the third number as 100? Anyone, explain to me.
How did you take the third number as 100? Anyone, explain to me.
(4)
CMREC said:
1 month ago
OPTION:C.
Let the third number be x.
20%x = 0.2x (and the number is more than a third of the number that is x) then,
=>x+0.2x = 1.2x,
50%x = 0.5x,
=>x+0.5x = 1.5x.
12:15=>4:5
Let the third number be x.
20%x = 0.2x (and the number is more than a third of the number that is x) then,
=>x+0.2x = 1.2x,
50%x = 0.5x,
=>x+0.5x = 1.5x.
12:15=>4:5
(3)
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:
10 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)
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