# 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 1 of 13.
Ganapathy said:
1 decade ago

Let third no be 100.

the first no is 20% more than third so 120

similarly

second no is 50% more than third so 150

just compare

120:150

4:5

the first no is 20% more than third so 120

similarly

second no is 50% more than third so 150

just compare

120:150

4:5

(2)

SHEETAL said:
1 decade ago

Suppose the 3rd no is X.

so 1st no will be X*1.2.

&2nd no will be X*1.5.

so the ratio is 1.2:1.5,

Hence 4:5

so 1st no will be X*1.2.

&2nd no will be X*1.5.

so the ratio is 1.2:1.5,

Hence 4:5

(1)

Ramesh said:
1 decade ago

120/100 : 150/100

120:150

12:15

4:5

120:150

12:15

4:5

Xyz said:
1 decade ago

20%=1/5

50%=1/2

So ratio should be equal to 1/5:1/2

Ans= 2:5 ?

50%=1/2

So ratio should be equal to 1/5:1/2

Ans= 2:5 ?

(1)

Ramesh said:
1 decade ago

Dear xyz, it is not 20% and 50%, but it is 20% and 50% MORE THAN third number.

If third no is 100, it is 120 and 150

So, 120 : 150

12: 15 or

4:5

If third no is 100, it is 120 and 150

So, 120 : 150

12: 15 or

4:5

Sridhar said:
1 decade ago

Why should take the value of third no is 100 only? why not 60, 70, 80.

Sathya said:
1 decade ago

Let 3rd no is x

20%of x=(20/100)*x

50%of x=(50/100)*x

1/5x:1/2x

ans=2:5

20%of x=(20/100)*x

50%of x=(50/100)*x

1/5x:1/2x

ans=2:5

SUGANYA.P said:
1 decade ago

I do know understand this concepts please explain.

Sumit said:
1 decade ago

Let it be of 100. It is most convennience.

Sathi said:
1 decade ago

Take A,B,C as three numbers

A is 20% more than C

A=C+20%of C=C+0.2C=1.2C

same way

B=C+50%of(C)=C+0.5C=1.5C

ratio A/B=1.2C/1.5C=4/5

Ans 4/5

A is 20% more than C

A=C+20%of C=C+0.2C=1.2C

same way

B=C+50%of(C)=C+0.5C=1.5C

ratio A/B=1.2C/1.5C=4/5

Ans 4/5

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