# 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:

122 comments Page 11 of 13.
Richa said:
1 decade ago

Sathi method is very good.

Nidhi said:
1 decade ago

Ganapathy you are awsome.

ALI said:
1 decade ago

Hey guys plz don't bother!

let us make it simple...

it was said that first number is 20% more than third number

and second number is 50% more than third number..

now,

we assume the third number is "x".

we all know that "x" means "1x" not just "x"

so 20% more and 50% more than third number means

(20%)+(1x) and (50%)+(1x)

=(0.2)+(1x) and (0.5)+(1x)

=1.2x and 1.5x

now

1.2 : 1.5

let us forget the decimal and assume it 12 : 15

now simplify 12 : 15

i.e divide it by 3.

you'll get 4:5

that's it....

let us make it simple...

it was said that first number is 20% more than third number

and second number is 50% more than third number..

now,

we assume the third number is "x".

we all know that "x" means "1x" not just "x"

so 20% more and 50% more than third number means

(20%)+(1x) and (50%)+(1x)

=(0.2)+(1x) and (0.5)+(1x)

=1.2x and 1.5x

now

1.2 : 1.5

let us forget the decimal and assume it 12 : 15

now simplify 12 : 15

i.e divide it by 3.

you'll get 4:5

that's it....

(1)

Kushi said:
1 decade ago

Thanks sathi.

Sandeep said:
1 decade ago

Some one explain why it is 100?

Abhishek said:
1 decade ago

I took x:x+20:x+50

then i assumed x+(x+20)+(x+50)=100

3x+70=100

x=10

hence the ration is 30/60

1/2

where did i go wrong?

then i assumed x+(x+20)+(x+50)=100

3x+70=100

x=10

hence the ration is 30/60

1/2

where did i go wrong?

Manimekalai.v said:
1 decade ago

Ganapathy method is good.

Priyabrata Muduli said:
1 decade ago

Sathi's concept is right.

Kunal said:
1 decade ago

Why take third number as 100?

Naveen said:
1 decade ago

Take 10 and 20% more than 10 is 12 and 50% more than 10 is 15 so the ratio is 12:15 which is nothing but 4:5 .

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