**Ratio and Proportion Mathematical Aptitude For UGC NET Paper 1**

**Ratio and Proportion :-** Ratio is used, when we comparing two quantities of the same type, and A proportion is the equality of two ratios.

Ratio and Proportion also will help to manage business, and daily life activity.

Solve Question Answer of **Ratio and Proportion:-**

1. There are 30 students in a class. The number of students who like Math and Science in the ratio 2:3. Find the number of students who like Math and the ones who like Science.

solution :-

total number of student is = 30

Ratio of Math and Science is = 2:3

so student of math and science is = total student * (Ratio of Math /Ratio of Math + Ratio of Science )

student of math is = total student * (Ratio of Math /Ratio of Math + Ratio of Science )

student of math is = 30 *(2/2+3)

student of math is = 30*(2/5)

student of math is = 6*2 = 12

student of science is = total student * (Ratio of Science /Ratio of Math + Ratio of Science )

student of science is = 30 *(3/2+3)

student of science is = 30 *(3/5)

student of science is = 6*3 = 18

2. A sum of money is to be distributed among A, B, C, D in the proportion of 4 : 5 : 3 : 2. If C gets Rs. 500 more than D, what is B’s share

solution :-

Total number of participant is = A, B, C, D

The proportion 4 : 5 : 3 : 2 money is to be distributed

share of A = 4x

share of B = 5x

share of C =3x

share of D = 2x

In question mention that, If C gets Rs. 500 more than D

3x – 2x = 500

x = 500

share of B = 5x

share of B = 5 * 500

share of B = 2500

3. Seats for Mathematics, Physics and Biology in a school are in the ratio 10 : 6 : 4. Management told to increase these seats by 40%, 50% and 75% respectively. What is the ratio of new seat.

solution :-

Seats for Mathematics, Physics and Biology in the ratio 10 : 6 : 4

Seats for Mathematics = 10

Seats for Physics = 6

Seats for Biology = 4

Increase the seats by 40%, 50% and 75% respectively in Mathematics, Physics and Biology

New Seats

for Mathematics = 10+ 10 *40/100 =

for Mathematics = 10+4 = 14

New Seats

for Physics = 6+6*50/100

for Physics = 6+ 3 = 9

New Seats

for Biology = 4+4*75/100

for Biology = 4 + 3 = 7

Ratio of increased seats =

New Seats for Mathematics / New Seats for Physics / New Seats for Biology

Ratio of increased seats = 14 / 9 / 7

Ratio of increased seats = 14 : 9 : 7

4. In a mixture 50 litres, the ratio of milk and water 3 : 2. If this ratio is to be 2 : 3, How much water is required to added is:

solution :-

we have mixture of 50 litres

Ratio of Milk and Water is 3 : 2

Quantity of milk is = Total mixture * (Ratio of milk /Ratio of milk + Ratio of water )

Quantity of milk is = 50 * (3/3+2)

Quantity of milk is = 50* 3/5

Quantity of milk is = 10*3 = 30 litres

Quantity of water is = Total mixture – Quantity of milk

Quantity of water is = 50 litres – 30 litres

Quantity of water is = 20 litres

now , ratio is to be 2 : 3

Quantity of milk is = 2x = 30

X = 30/2 = 15

Quantity of water is = 3x = ?

Quantity of water is = 3*15

Quantity of water is = 45

Quantity of water to be added is = current quantity of water is – Old quantity of water

Quantity of water to be added is = 45 litres – 20 litres

Answer is = 25 litres

Important Ratio and Proportion Question for ugc net preparation and Put the answer on comment.

1. The ratio of the number of man and woman in a college is 6 : 5. If the percentage increase in the number of boys and girls be 50% and 20% respectively, what will be the new ratio

2. Salaries of Saurabh and Sonu are in the ratio 2 : 3. If the payment of every one is increased by Rs. 4000, the new ratio becomes 40 : 57. What is Sonu ‘s salary

3. If 0.50 : x :: 4 : 6, then x is equal to

4. The sum of three numbers is 58. If the ratio of the first to second is 3 :4 and that of the second to the third is 3 : 2, then the second number is

5. The salaries A, B, C are in the ratio 3 : 4 : 6. If the increments of 10%, 20% and 30% are allowed respectively in their salaries, then what will be new ratio of their salaries

6. If 60% of a number is equal to two-third of another number, what is the ratio of first number to the second number

7. In a bag, there are coins of 50 p, 25 p and 10 p in the ratio of 1 : 2 : 3. If there is Rs. 26 in all, how many 10 p coins are there

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