# 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:

114 comments Page 1 of 12.
Anomi said:
3 months ago

Why do we need to use 100 to multiply? Please explain to me.

(1)

Biswajit Paul said:
4 months ago

20% -----> 4*5=20%

50% ------> 5*10=50%

Ratio is ---- (c) 4 : 5.

So, Option (C) is the Right answer.

50% ------> 5*10=50%

Ratio is ---- (c) 4 : 5.

So, Option (C) is the Right answer.

(2)

Rahul kumawat said:
5 months ago

Suppose the 3rd number is x.

Then first no. will be more than 20% of third no.

So first no.=x+20x/100=6x/5.

second n0.=x+50x/100=3x/2.

so, the ratio of first and second no.=6x/5*2/3x=4:5.

Then first no. will be more than 20% of third no.

So first no.=x+20x/100=6x/5.

second n0.=x+50x/100=3x/2.

so, the ratio of first and second no.=6x/5*2/3x=4:5.

(4)

Divya said:
1 year ago

@All.

Here,

First and second numbers 20% and 50% more that means 120:150 simply this we will get 4:5.

Here,

First and second numbers 20% and 50% more that means 120:150 simply this we will get 4:5.

(5)

Samm said:
1 year ago

How to solve if we have been asked the 2nd number is greater than 100.

Like, Two numbers are respectively 40% and 110% more than a third number. The ratio of the two numbers is:?

Anyone, please help me.

Like, Two numbers are respectively 40% and 110% more than a third number. The ratio of the two numbers is:?

Anyone, please help me.

Shakti said:
1 year ago

Let 3rd number is "c" and the 1st and 2nd is;

A,B.

Then,

A is the 20% more than c.

Means A = c+20%c.

= c+.2c.

= 1.2c.

Same hear,

B is the 50% more than of c.

Means. B = c + 50%c.

= c + .5c,

= 1.5c.

Then the 2 number ratio is,

A:B = 1.2c:1.5c.

(Multiply in both sides 10 to avoid the decimal point)

1.2c * 10:1.5c * 10.

12c:15c,

4:5.

A,B.

Then,

A is the 20% more than c.

Means A = c+20%c.

= c+.2c.

= 1.2c.

Same hear,

B is the 50% more than of c.

Means. B = c + 50%c.

= c + .5c,

= 1.5c.

Then the 2 number ratio is,

A:B = 1.2c:1.5c.

(Multiply in both sides 10 to avoid the decimal point)

1.2c * 10:1.5c * 10.

12c:15c,

4:5.

(1)

Surya said:
1 year ago

Thanks for explaining @Ganapathy.

Sravan said:
1 year ago

Here, Why should we consider 100? Please explain.

Simran said:
2 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:
2 years ago

Thank you all for explaining the concept.

Post your comments here:

Quick links

Quantitative Aptitude

Verbal (English)

Reasoning

Programming

Interview

Placement Papers