# 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:

117 comments Page 2 of 12.
Juke said:
6 years ago

Here is my solution.

Let,

x be the first num.

y be the 2nd.

z be the 3rd.

x is larger than z by 20% so,

x=1.2z : z=x/1.2.

y is larger than z by 50% so.

y = 1.5z : z = y/1.5.

Equate z,

x/1.2 = y/1.5.

x/y = 1.2/1.5.

x/y = 4/5.

4:5.

Let,

x be the first num.

y be the 2nd.

z be the 3rd.

x is larger than z by 20% so,

x=1.2z : z=x/1.2.

y is larger than z by 50% so.

y = 1.5z : z = y/1.5.

Equate z,

x/1.2 = y/1.5.

x/y = 1.2/1.5.

x/y = 4/5.

4:5.

Giri said:
9 years ago

Let x be 3rd number then,

1st number is 20% greater than 3rd number,so 1st number is equal to

x+(x*(20/100)).

x(1+(20/100)).

x((100+20)/100).

x*(120/100).

That why we will add 100 to given percentage to find increase in it.

1st number is 20% greater than 3rd number,so 1st number is equal to

x+(x*(20/100)).

x(1+(20/100)).

x((100+20)/100).

x*(120/100).

That why we will add 100 to given percentage to find increase in it.

Manas said:
8 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.

Can any one solve the problem? Then please.

LOKESH ANAND said:
8 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.

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.

Morepankh said:
2 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.

Satish rathnam said:
1 decade ago

ok mr.gitty take 'x' only. u will get 4:5

=>1st number :2nd number

=> 20% more than X : 50% more than X

=> now cancel "more than X" on both sides

=> 20% : 50 %

=> 1.2 : 1.5

=> 4:5

=>1st number :2nd number

=> 20% more than X : 50% more than X

=> now cancel "more than X" on both sides

=> 20% : 50 %

=> 1.2 : 1.5

=> 4:5

Sajal Das said:
1 decade ago

Let the 2 Nos are A and B and the 3rd No. is C.

According to the question A is 20% more than C. i.e., A=(1.2)C and B is 50% more than C. i.e., B=(1.5)C.

And so the ratio is {(1.2)C}/{(1.5)C} = 4/5 , i.e., 4:5.

According to the question A is 20% more than C. i.e., A=(1.2)C and B is 50% more than C. i.e., B=(1.5)C.

And so the ratio is {(1.2)C}/{(1.5)C} = 4/5 , i.e., 4:5.

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.

Gaurav said:
9 years ago

Confused guys. Please read the question carefully.

Its first and 2nd number is 20% and 50 % more than the third number.

Obviously that means that the third number should be 100% or you can take it as 100.

Its first and 2nd number is 20% and 50 % more than the third number.

Obviously that means that the third number should be 100% or you can take it as 100.

Hussain Ali said:
10 years ago

Let A, B, C are three numbers.

A is 20% more than C.

So A become:

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

B become:

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

And ratio between A/B is:

1.2C/1.5C = 4/5.

Hence answer is:4/5.

A is 20% more than C.

So A become:

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

B become:

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

And ratio between A/B is:

1.2C/1.5C = 4/5.

Hence answer is:4/5.

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