# Aptitude - Ratio and Proportion - Discussion

Discussion Forum : Ratio and Proportion - General Questions (Q.No. 12)

12.

If 40% of a number is equal to two-third of another number, what is the ratio of first number to the second number?

Answer: Option

Explanation:

Let 40% of A = | 2 | B |

3 |

Then, | 40A | = | 2B |

100 | 3 |

2A | = | 2B | |

5 | 3 |

A | = | 2 | x | 5 | = | 5 | |||

B | 3 | 2 | 3 |

A : B = 5 : 3.

Discussion:

23 comments Page 1 of 3.
Talha said:
1 decade ago

Let the first number be 10. Its 40% is 4.

As in the question 40% of a number is two third of other.

Now we have to find that number and that is.

3\2 * 4 = 6.

For checking.

2\3 * 6 = 4.

And now 40 % meaning 4 lead it to full 100% meaning we get 10.

And know the ratio is.

10:6 or 5:3.

In these type of questions method is not must. Get some use of your natural machine.

As in the question 40% of a number is two third of other.

Now we have to find that number and that is.

3\2 * 4 = 6.

For checking.

2\3 * 6 = 4.

And now 40 % meaning 4 lead it to full 100% meaning we get 10.

And know the ratio is.

10:6 or 5:3.

In these type of questions method is not must. Get some use of your natural machine.

Swagger said:
9 years ago

@Kusu you said why not 3:5:

Let say:

2A/5 = 2B/3.

First number being A and second number being B.

The question asked for the ratio of the first number to the second.

That means you got to get it into this form: A/B or A:B.

So rearrange 2A/5 = 2B/3 to get A/B = 5/3.

Therefore the ratio is of A:B is 5:3.

Let say:

2A/5 = 2B/3.

First number being A and second number being B.

The question asked for the ratio of the first number to the second.

That means you got to get it into this form: A/B or A:B.

So rearrange 2A/5 = 2B/3 to get A/B = 5/3.

Therefore the ratio is of A:B is 5:3.

Sasi said:
3 years ago

Here, given 40% a number = another number 2/3.

we can assume first num = a , second num = b.

Now 40% a = 2/3b.

We have % convert to 40/100 = 2/5.

2/5a = 2/3b,

a/b = (5/2)*(2/3),

a/b = 5/3.

So, the answer is a:b = 5:3.

we can assume first num = a , second num = b.

Now 40% a = 2/3b.

We have % convert to 40/100 = 2/5.

2/5a = 2/3b,

a/b = (5/2)*(2/3),

a/b = 5/3.

So, the answer is a:b = 5:3.

(3)

Shrey said:
9 years ago

Ratio are given as 2:3:5.

200:300:500 (assume).

As 15% (230), 10% (330) and 20% (100) are respective increase in salaries.

New ratio 200:300:500.

230:330:600.

Answer = 23:33:60.

Answer comes in about 15 sec.

200:300:500 (assume).

As 15% (230), 10% (330) and 20% (100) are respective increase in salaries.

New ratio 200:300:500.

230:330:600.

Answer = 23:33:60.

Answer comes in about 15 sec.

Ashok said:
1 decade ago

If 40% of a number is equal to two-third of another number, what is the ratio of first number to the second number?

40% of x number is equal to 2/3.

So 40/100 =2/3.

If you get 200;120.

Simply 5:3.

40% of x number is equal to 2/3.

So 40/100 =2/3.

If you get 200;120.

Simply 5:3.

Jisha said:
1 decade ago

Let A is FirstNumber

B is SecondNumber

40% of a number is equal to two-third of another number means

40%=40/100

40/100A=2/3B

a/b=40/100*2/3

a/b=3/5

a:b=3:5

B is SecondNumber

40% of a number is equal to two-third of another number means

40%=40/100

40/100A=2/3B

a/b=40/100*2/3

a/b=3/5

a:b=3:5

Sairocky said:
7 years ago

40%=40/100*2/3(nothing but two-third),

divide by 20 you will get 2/5*2*3,

Cross multiplication.

10:6(both come in 2 table).

5:3.

divide by 20 you will get 2/5*2*3,

Cross multiplication.

10:6(both come in 2 table).

5:3.

(1)

Sinchana said:
3 years ago

Let the two numbers be x and y.

Given 40%(x)=2/3 * (y).

Solving;

40/100*(x) = 2/3*(y),

2/5*(x)=2/3*(y),

x/y = 5/3= 5:3.

Given 40%(x)=2/3 * (y).

Solving;

40/100*(x) = 2/3*(y),

2/5*(x)=2/3*(y),

x/y = 5/3= 5:3.

(2)

Aparna said:
1 decade ago

hey,read the question carefully

it is said 40% of a number

not increases by 40%

and the meaning 'of' is '*'

it is said 40% of a number

not increases by 40%

and the meaning 'of' is '*'

Kusu said:
1 decade ago

Why

2A/5=2B/3

A/B=2/3x5/2=5/3

Why not 2a/5=2b/3

then

2a*3=5*2b

6a=10b

=>A:B=3:5

2A/5=2B/3

A/B=2/3x5/2=5/3

Why not 2a/5=2b/3

then

2a*3=5*2b

6a=10b

=>A:B=3:5

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