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 2 of 14.
Diyaa said:
2 years ago
Let the third number be denoted as x.
The first number is 20% more than x.
Therefore, the first number is: x+0.2x = 1.2x.
The second number is 50% more than x.
Therefore, the second number is x+0.5x = 1.5x.
We need to find the ratio of the first to the second number: 1.2x/1.5x.
The x terms cancel out, simplifying the ratio into 4/5.
So, the Answer is 4/5.
The first number is 20% more than x.
Therefore, the first number is: x+0.2x = 1.2x.
The second number is 50% more than x.
Therefore, the second number is x+0.5x = 1.5x.
We need to find the ratio of the first to the second number: 1.2x/1.5x.
The x terms cancel out, simplifying the ratio into 4/5.
So, the Answer is 4/5.
(17)
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)
Vin said:
2 years ago
Thanks everyone for explaining the answer.
(8)
Ujjwal kumar said:
2 years ago
Let the third number be 100.
1st number is 120, and the second number 150.
Then the ratio of 120 and 150 will be 4:5.
1st number is 120, and the second number 150.
Then the ratio of 120 and 150 will be 4:5.
(48)
Ramya D said:
2 years ago
Assume the third number as X,
so x+20/100 // x+50/100,
120x/100 // 150x/100,
6/5 : 3/2 => 6 * 2 : 5 * 3 => 4 : 5.
so x+20/100 // x+50/100,
120x/100 // 150x/100,
6/5 : 3/2 => 6 * 2 : 5 * 3 => 4 : 5.
(23)
Bagavathsingh said:
2 years ago
Third number = x
First number = 20x/100
Second number = 50x/100
Assuming x = 10.
Put the value'
= (20*10/100) + 10 = 12,
= (50*10/100) + 10 = 15,
= 12:15.
= 4:5.
First number = 20x/100
Second number = 50x/100
Assuming x = 10.
Put the value'
= (20*10/100) + 10 = 12,
= (50*10/100) + 10 = 15,
= 12:15.
= 4:5.
(24)
Lokesh said:
2 years ago
@Sujaathasree.
If the percentage increases or mentioned directly we can take it as 100+20% since the percentage increases directly to 100 and if loss or decrease by 20% then we should do 100-20%.
If the percentage increases or mentioned directly we can take it as 100+20% since the percentage increases directly to 100 and if loss or decrease by 20% then we should do 100-20%.
(17)
Divith said:
2 years ago
Nice, thanks everyone for explanation.
(2)
Sujathaasree said:
2 years ago
How come 120 and 150 came? Please explain to me.
(22)
Ktricia said:
2 years ago
Please explain, how did 6x/5 and 3x/2 became 4:5? Please explain.
(21)
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