Ratio and Proportion Solution14





In this page ratio and proportion solution14 we are going to see solution of each question from the worksheet ratio and proportion.

(28) Rs.1560 is to be divided between A and B in the ratio (1/4) : (1/9). Find the share of each.

Solution:

Therefore A will get (1/4)x

Therefore B will get (1/9)x

(x/4) + (x/9) = 1560

(9 x + 4 x)/36 = 1560

13 x/36 = 1560

13 x = 1560(36)

13 x = 46800

 x = 46800/13

 x = 3600

Therefore A will get = 3600/4

                            = Rs.900

Therefore B will get = 3600/9

                             = Rs.400


(29) If 0.3 of a number is equal to 0.12 of another number, find the ratio of the numbers.

Solution:

Let x and y are the part of two numbers

 0.3 (x) = 0.12 (y)

  x/y = 0.12/0.3

x/y = 0.4/0.1

x/y = (0.4/0.1) x (10/10)

(x/y) = 4/1

x : y= 4 : 1

Therefore ratio of two number is 4 : 1.


(30) Divide Rs.585 into two parts in the ratio 2 : 7

Solution:

2 x and 7 x are required two numbers

2 x + 7x = 585

    9 x = 585

        x = 585/9

        x = 65 

So , 2 x = 2 (65) = 130

     7 x = 7 (65) = 455

Therefore the two numbers are 130,455


(31) Divide Rs.782 into three parts in the ratio (1/2) : (2/3) : (3/4)

Solution:

Three numbers are (x/2) , (2 x/3) and (3 x/4)

  (x/2) + (2 x/3) + (3 x/4) = 782

Now we are going to take L.C.M

L.C.M of 2,3 and 4 is 12

(x/2) x (6/6) + (2 x/3) x (4/4) + (3 x/4) x (3/3) = 782

(6 x/12) + (8 x/12)+ (9 x/12) = 782

(6 x + 8 x + 9 x)/12 = 782

23 x = 782 (12)

23 x = 9384

     x = 9384/23     

     x = 408

x/2 = 408/2 = 204

2x/3 = 2(408)/3 = 272

3x/4 = 3(408)/4 = 306

Therefore the three numbers are 204,272 and 306

ratio and proportion solution14 ratio and proportion solution14