# 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:

130 comments Page 1 of 13.
Ramkumar P said:
1 month ago

120/100 : 150/100.

120 : 150,

4 : 5.

120 : 150,

4 : 5.

(6)

FOUAD said:
2 months ago

Let A = 1.2 X.

Let B = 1.5 X.

A/B = 1.2X/1.5X,

A/B = 4/5,

A:B = 4:5.

Let B = 1.5 X.

A/B = 1.2X/1.5X,

A/B = 4/5,

A:B = 4:5.

(6)

Suhel Patel said:
2 months ago

Let, the third number is 100.

now the first is 20% more than 3rd number = 120.

and the second number is 50% more than the 3rd number = 150.

Then, 1 num : 2 num.

120 : 150.

So, the answer is 4:5.

now the first is 20% more than 3rd number = 120.

and the second number is 50% more than the 3rd number = 150.

Then, 1 num : 2 num.

120 : 150.

So, the answer is 4:5.

(29)

Diyaa said:
3 months ago

Let the third number be denoted as x.

The first number is 20% more than x.

Therefore, the first number is: x+0.2x = 1.2x.

The second number is 50% more than x.

Therefore, the second number is x+0.5x = 1.5x.

We need to find the ratio of the first to the second number: 1.2x/1.5x.

The x terms cancel out, simplifying the ratio into 4/5.

So, the Answer is 4/5.

The first number is 20% more than x.

Therefore, the first number is: x+0.2x = 1.2x.

The second number is 50% more than x.

Therefore, the second number is x+0.5x = 1.5x.

We need to find the ratio of the first to the second number: 1.2x/1.5x.

The x terms cancel out, simplifying the ratio into 4/5.

So, the Answer is 4/5.

(5)

Apeksha Puppalwar said:
4 months ago

Consider third number as X.

The question say's that 1st number is 20% more than the third number means a = 20%X + X.

Similarly,

Second number = b = 50%X + X,

a/b = 0.2X + X/0.5X + X,

= X(0.2 + 1)/X(0.5 + 1),

= 1.2/1.5.

= 4/5.

The question say's that 1st number is 20% more than the third number means a = 20%X + X.

Similarly,

Second number = b = 50%X + X,

a/b = 0.2X + X/0.5X + X,

= X(0.2 + 1)/X(0.5 + 1),

= 1.2/1.5.

= 4/5.

(6)

Vin said:
4 months ago

Thanks everyone for explaining the answer.

(3)

Ujjwal kumar said:
5 months ago

Let the third number be 100.

1st number is 120, and the second number 150.

Then the ratio of 120 and 150 will be 4:5.

1st number is 120, and the second number 150.

Then the ratio of 120 and 150 will be 4:5.

(41)

Ramya D said:
6 months ago

Assume the third number as X,

so x+20/100 // x+50/100,

120x/100 // 150x/100,

6/5 : 3/2 => 6 * 2 : 5 * 3 => 4 : 5.

so x+20/100 // x+50/100,

120x/100 // 150x/100,

6/5 : 3/2 => 6 * 2 : 5 * 3 => 4 : 5.

(23)

Bagavathsingh said:
8 months ago

Third number = x

First number = 20x/100

Second number = 50x/100

Assuming x = 10.

Put the value'

= (20*10/100) + 10 = 12,

= (50*10/100) + 10 = 15,

= 12:15.

= 4:5.

First number = 20x/100

Second number = 50x/100

Assuming x = 10.

Put the value'

= (20*10/100) + 10 = 12,

= (50*10/100) + 10 = 15,

= 12:15.

= 4:5.

(24)

Lokesh said:
8 months ago

@Sujaathasree.

If the percentage increases or mentioned directly we can take it as 100+20% since the percentage increases directly to 100 and if loss or decrease by 20% then we should do 100-20%.

If the percentage increases or mentioned directly we can take it as 100+20% since the percentage increases directly to 100 and if loss or decrease by 20% then we should do 100-20%.

(17)

Post your comments here:

Quick links

Quantitative Aptitude

Verbal (English)

Reasoning

Programming

Interview

Placement Papers