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 11 of 14.
Preetam paul said:
5 years ago
How come 120 percent? Please explain.
Ayushi said:
5 years ago
Thanks @Ali.
Morepankh said:
4 years ago
ATP,
1st no., Is 20% more than 3rd no.
Let 3rd no., be x;
Then, 1st no.,=(20/100)*x+x.
2nd no.,=(50/100)*x+x.
Finally,
1st = 120x/100.
2nd = 150x/100.
3rd = x.
Ratio required = 120x/100:150x/100.
= 4:5.
1st no., Is 20% more than 3rd no.
Let 3rd no., be x;
Then, 1st no.,=(20/100)*x+x.
2nd no.,=(50/100)*x+x.
Finally,
1st = 120x/100.
2nd = 150x/100.
3rd = x.
Ratio required = 120x/100:150x/100.
= 4:5.
N.PRASANTH said:
4 years ago
120/100:150/100
= 120:150,
= 12:15,
= 4:5.
= 120:150,
= 12:15,
= 4:5.
(4)
Shalini e said:
4 years ago
Thank you all for explaining the concept.
Simran said:
4 years ago
Let c is 1,
then,
first = 1 + 0.20*1,
second = 1 + 0.50*1,
ratio = 4:5.
then,
first = 1 + 0.20*1,
second = 1 + 0.50*1,
ratio = 4:5.
Sravan said:
4 years ago
Here, Why should we consider 100? Please explain.
Surya said:
4 years ago
Thanks for explaining @Ganapathy.
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)
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)
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