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:
2 : 5
3 : 5
4 : 5
6 : 7
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 8 of 14.

Shafai Rizvi said:   9 years ago
@Harshitta.

It is 1.2 and 1.5 (not 1.15).

So now simplify it,
= 1.2/1.5 (points cancel out).
= 12/15 (cancel out by 3).
= 4/5.

Harshitta said:   10 years ago
How to calculate to 1.2 and 1.15? How to get answer 4 = 5? I can't understand.

Ramanan said:   10 years ago
Let the third number be x given that:

x+20% : x+50%.

x+0.2 : x+0.5.

(we know x is '1x').

So, 1x+0.2 : 1x+0.5.

= 1.2x : 1.5x.

(To remove decimal points we are multiply in both sides by 10).

= 1.2x*10 : 1.5x*10.

= 12x : 15x.

By simplifying,

= 4 : 5.

(x will get cancelled when 12x/15x).

LOKESH ANAND said:   10 years ago
Let third number is 100.

Than 20% of third = 20 & 50% of third 50.

Than first number = 120(100+20).

Then second number = 150(100+50).

By question, Ratio of two number = First number:Second number.

= 120:150 = 4:5.

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.

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.

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.

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.

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.

Santosh said:   1 decade ago
Somebody let me know What is the ratio and what is the implementation of this?


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