# 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.
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)

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)

Manjuu said:
4 years ago

Good explanation, thanks all.

(1)

GITARTHA said:
4 years ago

2A/5*2B/3.

NOW A/B=2/5*3/2,

A:B 3:5.

Then why 3:5 is not correct? please Explain.

NOW A/B=2/5*3/2,

A:B 3:5.

Then why 3:5 is not correct? please Explain.

Aman said:
5 years ago

x,y two number.

40/100*x=2/3y.

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

1/5*x=1/3*y,

x=5 y=3.

40/100*x=2/3y.

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

1/5*x=1/3*y,

x=5 y=3.

Narsim said:
6 years ago

You are right, thanks @Pratika.

Neemish said:
7 years ago

40A/100=2B/3.

Cross multily we get,

120A=200B,

A/B=200/1200.

A/B=5:3.

Cross multily we get,

120A=200B,

A/B=200/1200.

A/B=5:3.

(1)

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)

Pratika said:
8 years ago

Given 40% i.e 40/100 = 2/5;

New ratio 2/5 : 2/3 = 6/10 = 3/5.

New ratio 2/5 : 2/3 = 6/10 = 3/5.

Rekha nayak said:
8 years ago

Please explain to me, why you have taken 2A/5 = 2B/3.

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