Ratio and Proportion Solution2





In this page ratio and proportion solution2 we are going to see solution of each question from the worksheet ratio and proportion.

We are going to use the following procedure to compare any two ratios.

Two ratios a : b and c : d can be compared using the following manner

(i) (a : b) > (c : d)

    a/b  > c/d  if (a d > b c)

(ii) (a : b) < (c : d)

    a/b  < c/d  if (a d < b c)

(iii) (a : b) = (c : d)

    a/b  = c/d  if (a d = b c)


(2) Which is grater

(i) 5 : 3 or 9 : 7

The two given ratios are 5 : 3 and 9 : 7 

       5/3 and 9/7

as per the procedure now we have to multiply (a d) and (b c)

Now, (5 x 7) = 35  and (3 x 9) = 27

 => here 35 > 27

  that is (a d) > (b c)

 (5/3) > (9/7)

Therefore we can decide that 5 : 3 is grater than the ratio 9 : 7     


(ii) 4 : 5 or 7 : 8

The two given ratios are 4 : 5 and 7 : 8

       4/5 and 7/8

as per the procedure now we have to multiply (a d) and (b c)

Now, (4 x 8) = 32  and (5 x 7) = 35

 => here 32 < 35

  that is (a d) < (b c)

 (4/5) < (7/8)

Therefore we can decide that 7 : 8 is grater than the ratio 4 : 5     


(iii) 4 : 7 or 11 : 16

The two given ratios are 4 : 7 and 11 : 16

       4/7 and 11/16

as per the procedure now we have to multiply (a d) and (b c)

Now, (4 x 16) = 64  and (7 x 11) = 77

 => here 77 < 64

  that is (a d) < (b c)

 (4/7) < (11/16)

Therefore we can decide that 11 : 16 is grater than the ratio 4 : 7     

ratio and proportion solution2