# 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:

118 comments Page 2 of 12.
Surya said:
2 years ago

Thanks for explaining @Ganapathy.

Sravan said:
2 years ago

Here, Why should we consider 100? Please explain.

Simran said:
3 years ago

Let c is 1,

then,

first = 1 + 0.20*1,

second = 1 + 0.50*1,

ratio = 4:5.

then,

first = 1 + 0.20*1,

second = 1 + 0.50*1,

ratio = 4:5.

Shalini e said:
3 years ago

Thank you all for explaining the concept.

N.PRASANTH said:
3 years ago

120/100:150/100

= 120:150,

= 12:15,

= 4:5.

= 120:150,

= 12:15,

= 4:5.

(3)

Morepankh said:
3 years ago

ATP,

1st no., Is 20% more than 3rd no.

Let 3rd no., be x;

Then, 1st no.,=(20/100)*x+x.

2nd no.,=(50/100)*x+x.

Finally,

1st = 120x/100.

2nd = 150x/100.

3rd = x.

Ratio required = 120x/100:150x/100.

= 4:5.

1st no., Is 20% more than 3rd no.

Let 3rd no., be x;

Then, 1st no.,=(20/100)*x+x.

2nd no.,=(50/100)*x+x.

Finally,

1st = 120x/100.

2nd = 150x/100.

3rd = x.

Ratio required = 120x/100:150x/100.

= 4:5.

Ayushi said:
3 years ago

Thanks @Ali.

Preetam paul said:
3 years ago

How come 120 percent? Please explain.

SHAIK MANSOOR said:
3 years ago

They said comparing both 1st & 2nd third parts is less and it is Percentage. So For third part take it as 100%.

Then for 1st part 120% & 2nd part 150%.

Then 120% : 150% : 100%. Then the answers is 4:5.

Then for 1st part 120% & 2nd part 150%.

Then 120% : 150% : 100%. Then the answers is 4:5.

Ugyen Dema said:
3 years ago

I am getting 2:5. Please anyone explain the answer clearly.

Post your comments here:

Quick links

Quantitative Aptitude

Verbal (English)

Reasoning

Programming

Interview

Placement Papers