Questions

Solution

(1) Find the ratio between the following

(i) 7 paise and Rs.2.25

(ii) 8 months and 1 year 6 months

(iii) 2.4 meters and 80 cm

(iv) 1.5 kg and 75 gm

Solution

(2) Which is grater

(i) 5 : 3 or 9 : 7

(ii) 4 : 5 or 7 : 8

(iii) 4 : 7 or 11 : 16

Solution

(3) Arrange the ratios in the descending order

(i) 3 : 4, 5 : 8 and 13 : 16

(ii) 7 : 12 , 13 : 20 , 5 : 8 and 13 : 15

(iii) 11 : 14 , 17 : 21 , 6 : 7 and 4 : 3

Solution

(4) Arrange the ratios in ascending order

(i)  2 : 5 , 3 : 4 , 17 : 20 and 19 : 25

(ii) 8 : 13 , 9 : 11 , 13 : 16 and 15 : 19

(iii) 2 : 11 , 3 : 16 , 4 : 25 and 7 : 26

(Hint:Express each ratio as a decimal fraction and then compare)

Solution

Solution

(5) Find the compounded ratio of

(i) 3 : 5 and 2 : 7

(ii) 2 : 3 , 4 : 5 and 5 : 8

Solution

(6) Find the duplicate ratio of

(i)  √2 : 3

(ii)  5 : 6

(iii)  a : a^(3/2) 

(iv) (1/3) : (1/4)

Solution

(7) Find the triplicate ratio of

(i)   2 : 5

(ii)  2^(1/3) : 3^(1/3)

(iii) √a : √b

(iv) (1/5) : (1/7)

Solution

(8) Find sub duplicate ratio of

(i) 9 : 16

(ii) (1/25) : (1/36)

Solution

(9) Find the subtriplicate ratio of

(i)  27 : 125

(ii)  (64/x³) : (125/y³)

(iii) (1/216) : (1/343)

Solution

(10) Find the reciprocal ratio of

(i)  3/p : 2/q

(ii) (1/4) : (1/9)

Solution

(11) If  A : B = 6 : 7 and B : C = 8 : 9,find A : B : C

Solution

(12) If 6 A = 5 B = 3 C , find A : B : C

Solution

(13) If (3 x + 1) : (9 x  + 4) is the duplicate of 4 : 7, find the value of x

Solution

(14) If (7 x + 1) : (13 x + 8) is the triplicate of 4 : 5, find the value of x

Solution

(15) If a : b = 3 : 2 and b : c = 5 : 8,find  a: c and a : b : c .

Solution

(16) If x : y = 5 : 7 and y : z = 4 : 5, find x : z and x : y : z

Solution

(17) If x : y = 2 : 1 find (5 x + 8y) : (6 x – 7y)

Solution

(18) If p : q = 7 : 4 find (5 p – 3 q) : (7 p + 3 q)

Solution

(19) If (4 x + 5) : (3 x + 11) = 21 : 23,find x

Solution

(20) If a : b = 5 : 3, find (2 a + 5 b) : (a + 3 b)

ratio and proportion worksheet

Solution

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