Ratio and Proportion - Arithmetic Aptitude Questions and Answers

Share

Whatsapp
Facebook
Copy
Copy Text
Copy
Copy URL
Share as Image
As Image

Answer : Option B

Explanation :

$\frac { 4 } { 15 }$ A = $\frac { 2 } { 5 }$ B

A =[ $\frac { 2 } { 5 }$ x $\frac { 15 } { 4}$ ]B

A = $\frac {3 } { 2}$ B

$\frac {A } { B}$ = $\frac {3 } { 2}$

A : B = 3 : 2

B's share = Rs[1210 x $\frac { 2 } { 5 }$ ] = Rs. 484

Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers is:

A.

2 : 5

B.

3 : 5

C.

4 : 5

D.

6 : 7

Share

Whatsapp
Facebook
Copy
Copy Text
Copy
Copy URL
Share as Image
As Image

Answer : Option C

Explanation :

Let the third number be x.

Then, first number = 120% of x = $\frac { 120 X } { 100 }$ = $\frac { 6 X } { 5 }$

Second number = 150% of x = $\frac { 150 X } { 100 }$ = $\frac { 3X } { 2}$

Ratio of first two numbers =[ $\frac { 6 X } { 5 }$ : $\frac { 3X } { 2}$ ] = 12x : 15x = 4 : 5

A sum of money is to be distributed among A, B, C, D in the proportion of 5 : 2 : 4 : 3. If C gets Rs. 1000 more than D, what is B's share?

A.

Rs. 500

B.

Rs. 1500

C.

Rs. 2000

D.

None of these

Share

Whatsapp
Facebook
Copy
Copy Text
Copy
Copy URL
Share as Image
As Image

Seats for Mathematics, Physics and Biology in a school are in the ratio 5 : 7 : 8. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the ratio of increased seats?

A.

2 : 3 : 4

B.

6 : 7 : 8

C.

6 : 8 : 9

D.

None of these

Share

Whatsapp
Facebook
Copy
Copy Text
Copy
Copy URL
Share as Image
As Image

Answer : Option A

Explanation :

Originally, let the number of seats for Mathematics, Physics and Biology be 5x, 7x and 8x respectively.

Number of increased seats are (140% of 5x), (150% of 7x) and (175% of 8x).

$[ \frac { 1 40} { 100 }$ x 5x ] , $[ \frac { 1 50} { 100 }$ x 7x ] and $[ \frac { 1 75} { 100 }$ x 8x]

7x, $\frac { 21 X} { 2 }$ and 14x

The required ratio = 7x : $\frac { 21 X} { 2 }$ :14 x

14x : 21x : 28x

2 : 3 : 4

In a mixture 60 litres, the ratio of milk and water 2 : 1. If this ratio is to be 1 : 2, then the quantity of water to be further added is:

A.

20 litres

B.

30 litres

C.

40 litres

D.

60 litres

Share

Whatsapp
Facebook
Copy
Copy Text
Copy
Copy URL
Share as Image
As Image

Answer : Option D

Explanation :

Quantity of milk = [ 60 x $\frac { 2 } {3}$ ]litres = 40 litres.

Quantity of water in it = (60- 40) litres = 20 litres.

New ratio = 1 : 2

Let quantity of water to be added further be x litres

Then, milk : water =[ $\frac { 40} { 20+X }]$

Now,[ $\frac { 40} { 20+X }]$ = $\frac { 1 } { 2 }$

20 + x = 80

x = 60.

Quantity of water to be added = 60 litres.

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?

A.

8 : 9

B.

17 : 18

C.

21 : 22

D.

Cannot be determined

Share

Whatsapp
Facebook
Copy
Copy Text
Copy
Copy URL
Share as Image
As Image

Answer : Option C

Explanation :

Originally, let the number of boys and girls in the college be 7x and 8x respectively.

Their increased number is (120% of 7x) and (110% of 8x).

[ $\frac { 120 } { 100 }$ x 7x] and [ $\frac { 110 } { 100 }$ x 8x ]

$\frac { 42X } {5 }$ and $\frac { 44X } {5 }$

The required ratio = [ $\frac { 42X } {5 }$ : $\frac { 44X } {5 }$ ] =21.22

Salaries of Ravi and Sumit are in the ratio 2 : 3. If the salary of each is increased by Rs. 4000, the new ratio becomes 40 : 57. What is Sumit's salary?

A.

Rs. 17,000

B.

Rs. 20,000

C.

Rs. 25,500

D.

Rs. 38,000