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# Ask a Ratio and Proportion Question

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Sarvajeet

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P

Prantosh 11/11/2016 in  Ratio and Proportion

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Rama Krishna replied | 09/12/2016

5:7 here 7-5=2 parts and 3:4 here 4-3= 1 parts
so 1 parts equal to parts 2 * (3:4)= 6:8
1 subtracted from each part.

Abhishek replied | 10/12/2016

it will be like suppose x is the no
then
(5-x)/(7-x) = 3/4.
By solving we got x = -1.
Hence, 1 should be added to get the answer.

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V

Venu 11/11/2016 in  Ratio and Proportion

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Rishikesh replied | 08/12/2016

1.2.

Abhishek replied | 10/12/2016

1.2.

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S

Supriyo 11/11/2016 in  Ratio and Proportion

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P

Pooja replied | 29/11/2016

49:9.

Sarvajeet replied | 06/12/2016

49:9.

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B

Balaji 11/11/2016 in  Ratio and Proportion

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Kundan replied | 10/12/2016

Square root of the product of both the numbers.

Rajendran replied | 11/12/2016

Mean proportion of 25, 64 = square root (25 * 64)
= square root of (1600)
= 40.

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A

Altaf 11/11/2016 in  Ratio and Proportion

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Rajendran replied | 24/11/2016

Given that x : y = 9 : 10.
(x/y) = (9/10).
now (5x + 3y) : (5x - 3y) = ?
Dividing both Nr and Dr by y we (5x/y + 3y/y)/5(x/y) - 3(y/y)
= [5(x/y) + 3]/[5(x/y) - 3(y/y)]
= [5(9/10) + 3]/5(9/10) - 3]
=[(45/10) + 3]/[(45/10) - 3].
taking LCM on Nr. and Dr., we get:-
=[(45 + 30)/10]/(45 - 30)/10
= (75/10)/(15/10)
= (75/10) * (10/15)
=75/15
=...  more»
Given that x : y = 9 : 10.
(x/y) = (9/10).
now (5x + 3y) : (5x - 3y) = ?
Dividing both Nr and Dr by y we (5x/y + 3y/y)/5(x/y) - 3(y/y)
= [5(x/y) + 3]/[5(x/y) - 3(y/y)]
= [5(9/10) + 3]/5(9/10) - 3]
=[(45/10) + 3]/[(45/10) - 3].
taking LCM on Nr. and Dr., we get:-
=[(45 + 30)/10]/(45 - 30)/10
= (75/10)/(15/10)
= (75/10) * (10/15)
=75/15
= 5.
Therefore (5x +3y) : (5x - 3y) = 5 : 1. «less

Sarvajeet replied | 06/12/2016

5:1.

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S

S. 11/11/2016 in  Ratio and Proportion

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Ram Mohan replied | 28/11/2016

Given that A:B = 4:5, B:C = 6:7 and C:D = 14:15.
Therefore, A/B =4/5; B/A = 6/7; C/D = 14/15 We can write A/D as A/D = A/B * B/C *C/D = 4/5 * 6/7 * 14/15 = 16/25
Thus, A : D = 16 : 25.

Sarvajeet replied | 06/12/2016

16:25.

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T

Tahir 11/11/2016 in  Ratio and Proportion

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Shikha replied | 23/11/2016

4:5.

Ram Mohan replied | 23/11/2016

The ratio of the two Numbers is 4:5.
If the third Number is 100, then the First number is 120 and the Second number is 150.
Their ratio = 120 : 150 = 4 : 5.

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R

Ramya 11/11/2016 in  Ratio and Proportion

Two numbers are in the ratio of 5 : 3, if 8 is added to each number, the ratio becomes 2 : 3. Find the numbers?

0 0 3

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Sarvajeet replied | 26/11/2016

-40/9, -8/3

Tapas replied | 26/11/2016

Let the numbers are x and y.
So, by the given condition:
x/y = 5/3 --> 3x = 5y ........ (1)
and
(x+8)/(y+8)=2/3 --> 3(x+8) = 2(y+8) --> 3x + 24=2y + 16 --> 3x - 2y = -8 .......(2)
Combining (1) and (2): 5y - 2y=-8 --> 3y=-8 --> y = -8/3
From (1): x = 5y/3 = -40/9
Answer: x = - 40/9, y = - 8/3.

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M

Momin 11/11/2016 in  Ratio and Proportion

If (4a + 9b) : (4c + 9d) = (4a - 9b) : (4c - 9d), show that a : b = c : d?

0 0 3

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Mamata replied | 27/11/2016

(4a+9b)(4c-9d)= (4c+9d)(4a-9b)
16ac-36ad+36bc-81bd)= 16ac-36bc+36ad-81bd)
-72ad=-72bc
ad=bc
a/b=c/d
a:b=c:d.

Sarvajeet replied | 06/12/2016

(By Componendo and Dividendo) 8a:18b=8c:18d or a:b = c:d.

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S

Sarala 11/11/2016 in  Ratio and Proportion

If (3a + 4b) / (3c + 4d) = (3a - 4b) / (3c - 4d), prove that a / b = c / d?

0 0 3

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Sachin replied | 27/11/2016

9a:8b=9c:8d (by compnendo and dividendo).

Mamata replied | 27/11/2016

(3a+4b)(3c-4d)=(3a-4b)(3c+4d)
9ac-12ad+12bc-16bd=9ac+12ad-12bc-16bd
-24ad=-24bc
ad=bc
a/b=c/d.

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V

Vathsala 11/11/2016 in  Ratio and Proportion

The ratio of the number of boys and girls in a college is 7 : 8. If the percentage increase in the number of boys and girls be 20 % and 10 % respectively, what will be the new ratio?

0 0 4

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Rama Krishna replied | 08/12/2016

Let the number of boys = 7k
number of girls = 8k

Due to increase in percentage,

number of boys = 7K*120/100

number of girls = 8K*110/100

New ratio = { 7K*120/100 } : { 8K*110/100 }
Or
7:8 can also be written as 70:80
120/100*70 = 84
110/100*80 = 88
so,new ratio= 84 : 88
or 42 : 44
or 21 : 22
Or
(7x+0.2*7x)/(8x+0.1*8x)=21...  more»
Let the number of boys = 7k
number of girls = 8k

Due to increase in percentage,

number of boys = 7K*120/100

number of girls = 8K*110/100

New ratio = { 7K*120/100 } : { 8K*110/100 }
Or
7:8 can also be written as 70:80
120/100*70 = 84
110/100*80 = 88
so,new ratio= 84 : 88
or 42 : 44
or 21 : 22
Or
(7x+0.2*7x)/(8x+0.1*8x)=21:22. «less

Ankit replied | 09/12/2016

21/22

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P

Praneeth 11/11/2016 in  Ratio and Proportion

What must be added to each of 7, 16, 43 and 79 so that they become proportion? Find the number, which are in the proportion?

Ram Mohan replied | 21/11/2016

Let us suppose, that we have to add 'x', to each of 17,16,43,and 79 so that they are in proportion
Therefore, ( 7 + x ) : (16 + x ) : : ( 43 + x ) : ( 79 + x ), ==> ( 16 + x ) (43 + x ) = (7 + x ) ( 79 + x )
after simplification and solving for ' x' , we get x = 5 .
Verification :
After adding '5' to the given numbers, we get 12, 21, 48, 84 which satisfy 12 :...  more»
Let us suppose, that we have to add 'x', to each of 17,16,43,and 79 so that they are in proportion
Therefore, ( 7 + x ) : (16 + x ) : : ( 43 + x ) : ( 79 + x ), ==> ( 16 + x ) (43 + x ) = (7 + x ) ( 79 + x )
after simplification and solving for ' x' , we get x = 5 .
Verification :
After adding '5' to the given numbers, we get 12, 21, 48, 84 which satisfy 12 : 21 : : 48 : 84 OR 4 : 7 : : 4 : 7 «less

Sarvajeet replied | 06/12/2016

5.

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K

Kirti 11/11/2016 in  Ratio and Proportion

What number should be subtracted from each of the numbers 23, 30, 57 and 78, so that the remainders are in the proportion?

Sarvajeet replied | 06/12/2016

6.

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A

Abraham 11/11/2016 in  Ratio and Proportion

If x : y : z, show that x : z = (square of x) : (square of y)?

Shambhavi replied | 07/12/2016

As we know that , x:y:z , this implies that, y^2=x*z.
Simplifying x:z=x^2:y^2, we get, y^2=x*z, which is the same as above. Thus, they are equal.

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H

Hemlata 11/11/2016 in  Ratio and Proportion

The work done by (x - 3) men in (2x + 1) days and the work done by (2x + 1) men in (x + 4) days are in the ratio of 3 : 10. Find the value of x?

Tapas replied | 27/11/2016

Let the amount of work done by 1 man in 1 day is w.
Then the work done by (x - 3) men in (2x + 1) days = (x - 3)(2x + 1)w.
And the work done by (2x + 1) men in (x + 4) days = (2x + 1)(x + 4)w.
By the given condition,
[(x - 3)(2x + 1)w] / [ (2x + 1)(x + 4)w] = 3 : 10
Simplifying:
(x - 3) / (x + 4) = 3 / 10 --> 10x - 30=3x + 12 --> 10x - 3x=30 + 12 -->...  more»
Let the amount of work done by 1 man in 1 day is w.
Then the work done by (x - 3) men in (2x + 1) days = (x - 3)(2x + 1)w.
And the work done by (2x + 1) men in (x + 4) days = (2x + 1)(x + 4)w.
By the given condition,
[(x - 3)(2x + 1)w] / [ (2x + 1)(x + 4)w] = 3 : 10
Simplifying:
(x - 3) / (x + 4) = 3 / 10 --> 10x - 30=3x + 12 --> 10x - 3x=30 + 12 --> 7x=42 --> x = 42/7 = 6
Answer: x = 6. «less

Saurabh replied | 04/12/2016

Always remember a formula for these type of questions where work no. of men and no. of days /working hours are given:-
lhs = rhs
m1 * d1* t1 / work done 1 = m2* d2* t2 / work done 2 here * = multiply and / = divide. m=men d= days
As work done ratio by...  more»
Always remember a formula for these type of questions where work no. of men and no. of days /working hours are given:-
lhs = rhs
m1 * d1* t1 / work done 1 = m2* d2* t2 / work done 2 here * = multiply and / = divide. m=men d= days
As work done ratio by 1 to 2 is 3:10 just put the value (x-3)*(2x+1) /3 = (2x+1)*(x+4) /10.
on solving 10x-30= 3x+12,
7x=42
Therefore x=6. «less

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