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 9 of 14.
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.
Jaity said:
1 decade ago
But why did we took 120% instead of 20% and 150% in place of 50%?
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.
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.
Abhinav said:
1 decade ago
Let number = x, y, z.
Then, x = 20% of z + z = 6z/5.
y = 50% of z + z = 3z/2.
Ratio is x/y = 4/5.
Then, x = 20% of z + z = 6z/5.
y = 50% of z + z = 3z/2.
Ratio is x/y = 4/5.
Rosh said:
1 decade ago
Let 3rd no be x then.
(x+120/100):(x+150/100).
Take LCM 100 gets cancelled.
100x+120 = 100x+150.
We get 120 = 150.
So 4 : 5.
(x+120/100):(x+150/100).
Take LCM 100 gets cancelled.
100x+120 = 100x+150.
We get 120 = 150.
So 4 : 5.
Akshay said:
1 decade ago
@Nive.
Method is actually according to the question approach. Its is valid.
a = c+20%.
b = c+50%.
a/b = 100c+20/100c+50.
Now c definitely having some value so consider it as 1 we can't consider it as 0 because it has some value and on other hand we have to consider it as 1 because it has some non zero value.
So a/b = 0.8 i.e. 4/5.
Method is actually according to the question approach. Its is valid.
a = c+20%.
b = c+50%.
a/b = 100c+20/100c+50.
Now c definitely having some value so consider it as 1 we can't consider it as 0 because it has some value and on other hand we have to consider it as 1 because it has some non zero value.
So a/b = 0.8 i.e. 4/5.
Svs said:
1 decade ago
Hi, I really confuse.
Please clear my doubt.
Which is correct answer? Please tell.
@Sathya said 2:5.
Anyone tell correct answer?
Please clear my doubt.
Which is correct answer? Please tell.
@Sathya said 2:5.
Anyone tell correct answer?
Kavinraj said:
1 decade ago
Hi.
my explanation is, assume your 3rd num is 10,
20%of 10=2 so 1st no is 12.
50%of 10=5, so 2nd no is 15.
So ratio of 12:15 = 4:5.
my explanation is, assume your 3rd num is 10,
20%of 10=2 so 1st no is 12.
50%of 10=5, so 2nd no is 15.
So ratio of 12:15 = 4:5.
Hemant said:
1 decade ago
100+20:100+50 = 120:150 = 4:5.
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