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 6 of 14.
B.lingaswamyyadav said:
1 decade ago
Let the third number will taken as 100.
= 120/100 = 150/100 = 12 = 15.
= 4 = 5.
= 120/100 = 150/100 = 12 = 15.
= 4 = 5.
Niz said:
1 decade ago
If a, b, c.
a = c + 20% of c.
i.e a = c + 20/100*c.
a = c + 0.2 c.
i.e 1.2 c.
Also b = c + 50% of c.
i.e b = c + 50/100*c b = c + 0.5 c.
i.e 1.5 c.
Ratio between three numbers.
= 1.2 c : 1.5 c : c.
= 1.2 : 1.5.
i.e 4 : 5.
a = c + 20% of c.
i.e a = c + 20/100*c.
a = c + 0.2 c.
i.e 1.2 c.
Also b = c + 50% of c.
i.e b = c + 50/100*c b = c + 0.5 c.
i.e 1.5 c.
Ratio between three numbers.
= 1.2 c : 1.5 c : c.
= 1.2 : 1.5.
i.e 4 : 5.
Jaity said:
1 decade ago
But why did we took 120% instead of 20% and 150% in place of 50%?
Anish Sharma said:
1 decade ago
Listen 20% more than third no and 50% more than through number.
So, First-> solve the 20% = 20/100 = 0.2.
But 20% more than third no, so we will add a third no.
And assume the third no. is x and x mean (1x) not a simple x.
So 0.2+1x = 1.2.
Second-> same for 50% = 50/100 = 0.5.
0.5+1x = 1.5.
= 1.2:1.5.
= 12:15.
So you can say: 4:5.
So, First-> solve the 20% = 20/100 = 0.2.
But 20% more than third no, so we will add a third no.
And assume the third no. is x and x mean (1x) not a simple x.
So 0.2+1x = 1.2.
Second-> same for 50% = 50/100 = 0.5.
0.5+1x = 1.5.
= 1.2:1.5.
= 12:15.
So you can say: 4:5.
Santosh said:
1 decade ago
Somebody let me know What is the ratio and what is the implementation of this?
Parikshit said:
1 decade ago
Question says that two numbers are 20% and 50% MORE THAN third no then it should be like this:
No third no = X.
No A = 120*X/100+X.
B = 150*X/100+X.
But it gives 22:25.
No third no = X.
No A = 120*X/100+X.
B = 150*X/100+X.
But it gives 22:25.
Usha said:
1 decade ago
Hey anyone can explain what is meaning by third number and how its became 20% to convert 120 and 150 please explain guys.
Vamshi said:
1 decade ago
Let the third number be x = 100.
The first number is 20% more than third number so 100+20% = 120.
The second number is 50% more than third number so 100+50% = 150.
= 120:150 = 4:5.
The first number is 20% more than third number so 100+20% = 120.
The second number is 50% more than third number so 100+50% = 150.
= 120:150 = 4:5.
Manas said:
10 years ago
Out of three number, the first number and the second number are respectively 25% and 30% less then the third number. By what percentage is the second number less then the first?
Can any one solve the problem? Then please.
Can any one solve the problem? Then please.
Chex said:
10 years ago
Let x be the third value, hence.
20% of x = x+(20/100*x) = x+(x/5) = 6x/5.
50% of x = x+(50/100*x) = x+(x/2) = 3x/2.
Now ration is,
(6x/5)/(3x/2) = 12x/15x = 4/5.
20% of x = x+(20/100*x) = x+(x/5) = 6x/5.
50% of x = x+(50/100*x) = x+(x/2) = 3x/2.
Now ration is,
(6x/5)/(3x/2) = 12x/15x = 4/5.
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