# Aptitude - Ratio and Proportion - Discussion

Discussion Forum : Ratio and Proportion - General Questions (Q.No. 1)

1.

A and B together have Rs. 1210. If of A's amount is equal to of B's amount, how much amount does B have?

Answer: Option

Explanation:

4 | A | = | 2 | B | |

15 | 5 |

A = | 2 | x | 15 | B | |

5 | 4 |

A = | 3 | B |

2 |

A | = | 3 | |

B | 2 |

A : B = 3 : 2.

B's share = Rs. | 1210 x | 2 | = Rs. 484. | ||

5 |

Discussion:

143 comments Page 1 of 15.
Chaya said:
1 decade ago

I have one more solution:

Here a+b=1210

All given possible values of b in options are :

1. 460 2. 484

3. 550 4. 664

By b's we can find a's values

1. (1210-460)=750 2. (1210-484)=726

3. (1210-550)=660 4. (1210-664)=546

Condition given: 4/15a = 2/5b then

For b's values we will check condition

1. (4/15)*750 = (2/5)*460

200 = 184 (false)

2. (4/15)*726 = (2/5)*484

193.6 = 193.6 (true)

3. (4/15)*660 = (2/5)*550

176 = 220 (false)

4. (4/15)*546 = (2/5)*664

145.6 = 265.6 (false)

So b=484 is correct.

Here a+b=1210

All given possible values of b in options are :

1. 460 2. 484

3. 550 4. 664

By b's we can find a's values

1. (1210-460)=750 2. (1210-484)=726

3. (1210-550)=660 4. (1210-664)=546

Condition given: 4/15a = 2/5b then

For b's values we will check condition

1. (4/15)*750 = (2/5)*460

200 = 184 (false)

2. (4/15)*726 = (2/5)*484

193.6 = 193.6 (true)

3. (4/15)*660 = (2/5)*550

176 = 220 (false)

4. (4/15)*546 = (2/5)*664

145.6 = 265.6 (false)

So b=484 is correct.

Sandeep said:
7 years ago

Here,

A + B = 12110.

A 4/15 = B 2/5.

It can be written as per the rules of the ratio.

4/15 = 4 :15 and 2/5 = 2:5.

As per rules of ratio:

If a : b = c : d then a : b :: c : d in short it equal to ad : bc.

So, here 4 : 15 = 2 : 5.

Then,

4:15 :: 2:5 = 4 * 5 : 15 * 2 = 20 : 30.

2 : 3 So, the ratio between a and b is 2 : 3.

=> a + b = 1210

So, a : b =2 : 3.

b =1210 * 3/5.

=726.

Am I correct? Is there any mistake please tell me.

A + B = 12110.

A 4/15 = B 2/5.

It can be written as per the rules of the ratio.

4/15 = 4 :15 and 2/5 = 2:5.

As per rules of ratio:

If a : b = c : d then a : b :: c : d in short it equal to ad : bc.

So, here 4 : 15 = 2 : 5.

Then,

4:15 :: 2:5 = 4 * 5 : 15 * 2 = 20 : 30.

2 : 3 So, the ratio between a and b is 2 : 3.

=> a + b = 1210

So, a : b =2 : 3.

b =1210 * 3/5.

=726.

Am I correct? Is there any mistake please tell me.

Pravallika said:
7 years ago

@Sandeep

The ratio a : b is different from that of ad : bc.

2 : 3 is the answer for ad : bc but not a : b.

A(4/15) = B(2/5).

As per the rules of the ratio, it is written as;

4/15 = 4 :15 and 2/5 = 2:5.

Because they didn't mention the ratios of the amounts they had. They mentioned about the relation between those ratios.

A(4/15) = B(2/5) then A : B is 3 : 2.

And amount of B is 3/(3 + 2) * 1210 = 484.

The ratio a : b is different from that of ad : bc.

2 : 3 is the answer for ad : bc but not a : b.

A(4/15) = B(2/5).

As per the rules of the ratio, it is written as;

4/15 = 4 :15 and 2/5 = 2:5.

Because they didn't mention the ratios of the amounts they had. They mentioned about the relation between those ratios.

A(4/15) = B(2/5) then A : B is 3 : 2.

And amount of B is 3/(3 + 2) * 1210 = 484.

Sivaa said:
4 years ago

A + B = 1210.

Now find the value of B?

4/15 A = 2/5 B.

A = (2/5 * 15/4) B.

==> A = (3/2) B.

ratio is A : B = 3:2 ==> ratio of A is 3 and ratio of B is 2.

A + B = 1210 // this formula Apply the A value,

(3/2) B + B = 1210 // ratio of B is 2 so B is replace 2.

(3)B + 2 = 1210 * 2,

(3)B + 2 = 2420,

5(B) = 2420,

B = 2420/5,

B = 484.

Now find the value of B?

4/15 A = 2/5 B.

A = (2/5 * 15/4) B.

==> A = (3/2) B.

ratio is A : B = 3:2 ==> ratio of A is 3 and ratio of B is 2.

A + B = 1210 // this formula Apply the A value,

(3/2) B + B = 1210 // ratio of B is 2 so B is replace 2.

(3)B + 2 = 1210 * 2,

(3)B + 2 = 2420,

5(B) = 2420,

B = 2420/5,

B = 484.

Shannu said:
5 years ago

Can you give solution for this problem?

A vessel of 125 lts. Capacity is full of pure milk on the first day 2/5 of the milk is drawn and filled with water, on the second day 2/5 of the mixture is drawn and filled with water, and again the same thing is done on the third day. Find the quantity of milk at the end?

A vessel of 125 lts. Capacity is full of pure milk on the first day 2/5 of the milk is drawn and filled with water, on the second day 2/5 of the mixture is drawn and filled with water, and again the same thing is done on the third day. Find the quantity of milk at the end?

Prkz said:
1 decade ago

Nothing ya. just simple.

4/15=2/5

How it will bcom equal ? just c the denominator.

4/15

If you multiply 5 by 3 u will get 15 do it in the numerator also so it becoms 6/15 for B. calculate ratio for B now 1210*6/15= 484

solution.

4/15 = 2/5

4/15 = 2/5*3/3

4/15 = 6/15

therefor A:B 4:6

1210 * 6 / 15

484

4/15=2/5

How it will bcom equal ? just c the denominator.

4/15

If you multiply 5 by 3 u will get 15 do it in the numerator also so it becoms 6/15 for B. calculate ratio for B now 1210*6/15= 484

solution.

4/15 = 2/5

4/15 = 2/5*3/3

4/15 = 6/15

therefor A:B 4:6

1210 * 6 / 15

484

(1)

Ranjeet Kaur said:
10 years ago

Let A have x Rs.

Let B have y Rs.

Acc. to Question,

x + y = 1210-----------------1.

Now as per condition,

4/15 x = 2/5 y.

therefore, x = 2/5 y X 15/4.

x = 3/2 y.

Put this value in equation 1.

3/2 y + y =1210.

3y + 2y = 2420.

5y = 2420.

y = 484.

Therefore B has amount of Rs. 484/-.

Let B have y Rs.

Acc. to Question,

x + y = 1210-----------------1.

Now as per condition,

4/15 x = 2/5 y.

therefore, x = 2/5 y X 15/4.

x = 3/2 y.

Put this value in equation 1.

3/2 y + y =1210.

3y + 2y = 2420.

5y = 2420.

y = 484.

Therefore B has amount of Rs. 484/-.

Bishal Timilsina said:
7 years ago

Let's B's amount be Rs (1210 - A).

According to questions;

4/15 of A = 2/5 of B [ B = Rs. (1210-A) ]

4A/15 =2/5 (1210 - A),

20A = 30 (1210 - A),

A = 3/2 (1210 - A),

2A = 3630 - 3A,

5A = 3630,

A = 3630/5,

So, A = 726.

Now, B's amount = 1210 - A.

= 1210 - 726.

= Rs. 484 =>answer.

According to questions;

4/15 of A = 2/5 of B [ B = Rs. (1210-A) ]

4A/15 =2/5 (1210 - A),

20A = 30 (1210 - A),

A = 3/2 (1210 - A),

2A = 3630 - 3A,

5A = 3630,

A = 3630/5,

So, A = 726.

Now, B's amount = 1210 - A.

= 1210 - 726.

= Rs. 484 =>answer.

Rose said:
6 years ago

This can be done cery easily by simple algebra. tTher are two conditions,

First, A+B =1210.

Second,

A* 4/15 = B* 2/5.

A= B* 2/5 *15/4

A = 3/2 B. Put this value of A in first condition,

We get,

3/2 * B + B =1210.

5/2 *B =1210.

B =1210 * 2/5.

B =484.

First, A+B =1210.

Second,

A* 4/15 = B* 2/5.

A= B* 2/5 *15/4

A = 3/2 B. Put this value of A in first condition,

We get,

3/2 * B + B =1210.

5/2 *B =1210.

B =1210 * 2/5.

B =484.

S.gowthami said:
8 years ago

Let's us take both the difference (4/15-2/5=2/10).

The difference is 2/10 their total amount of them is 1210.

Take difference and multiply with the original amount.

= 2/10*1210=484.

This is my point of view if there is any mistake please don't mind.

The difference is 2/10 their total amount of them is 1210.

Take difference and multiply with the original amount.

= 2/10*1210=484.

This is my point of view if there is any mistake please don't mind.

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