Ratio & Proportion

Comparison Of Ratios In Proportion

1.     If
a:b = 5:9 and b:c = 4 : 7, then the value of a:b:c will be:

A) 10: 18:32   
            B) 2:3:7       
          C) 3:13:17         
      D) 20:36:63

2.     The
ratio of alcohol: water in a mixture is 4:3. If we add 5 liters of
water to the mixture, this ratio becomes 4: 5. Then the quantity or
concentration of alcohol in the mixture is:

A) 0.2 litres   
        B) 2 litres         
    C) 8 litres              D) 10
litres

3.     Four
people A, B, C and D work together in an office such that salary od A is less
than the salary of D. Their salaries are in a proportion such that the salaries
of B and C are the mean terms of the proportion. If the salary of C increases
by a factor of 1/5, then what should be the change in the salary of the other
people, individually, such that we maintain the proportion and the minimum money is
spent?

4.     A
boy carries 50 p, 25 p, and 10 p coions in the ratio of 5:9:4 respectively. the
total money the boy carries is Rs. 206. Then the number of coins of each kind
as per the order is:

A) 129, 673, 836 
          B) 200, 360, 160       
            C) 364, 385, 368     
      D) 654, 633, 532

Ans: B)200, 360, 160.

5.     If
A:B:C = 2:3:4, then A/B:B/C:C/A will be equal to:

A) 8: 9: 24   
       B) 12: 33: 23          C)
12: 23: 8                D) 8: 34: 7

Ans: A) 8: 9: 24

7)   
In
a rectangle, the ratio of the length to breadth is 5 : 3. The length is 2.5
metres. What is the breadth?

8)   
Nazir
invested 4000 rupees and Narayanan invested 6000 rupees to set up a
partnership. In one year, they got 3000 rupees profit. If they split this in
the ratio of their investment, how much would each get?

9)   
The
ratio of illiterate to literate people in a locality is 1: 19. The population
of that locality is 64000. How many among these are literate? And how many are
illiterate?

10) In a cow farm, the ratio of the number
of cows which give milk to the number of cows which don’t is 8 : 3. The number
of cows which don’t give milk is 144. How many cows do given milk? And how many
cows are there in all?

11) The ratio of the number of boys to the
number of girls in a school is 14 : 15. There are 27 more girls than boys. How
many girls are there in this school? How many boys?

12) In a School, out of 1220 students, 300
are girls. Find the ratio of



(a) Number of girls to the total number of students.



(b) Number of boys to the number of girls.



(c) Number of boys to the total number of students.

13) Determine if the following ratios form
a proportion. Also, write the middle terms and extreme terms where the ratios
form a proportion.



(a) 10 cm: 1 m and Rs 10: Rs 100



(b) 39 litres: 65 litres and 6 bottles: 10 bottles



(c) 2 kg: 50 kg and 25 g: 625 g



(d) 200 mL: 2.5 litre and Rs 4: Rs 50

14) Aakash earns Rs 20000 in 10 days. How
much will she earn in 30 days?