Continued Sum

Introduction of Continued Sum:

Continued sum is defined as that they consist of two or more quantities which is interrelated to one another that seems to be chain relationship. Continued sum is the continued proportion, if first is proportion to the second and second is proportion to the third and third is proportion to the fourth and so on…….                                     If a, b, c, d, e is in continued sum, then

a/b = b/c = c/d = d/e

Example Problems – Continued Sum

Example 1:

Three persons X, Y and Z are combining to get an amount of 14000 Rupees in a share market. Their share in the amount is in ratio as follows
X : Y = 4 : 2
Y : Z = 10 : 5
To Find share of each person.
Solution:
Total amount of profit = 14000
Ratio of X, Y and Z is

X   :     Y     :   Z

4    :      2

10   :   5



40   :     20   :   10

The Sum of ratio = 40 + 20 + 10 = 70
Share of A = 40/70  x 14000 = 8000
Share of B = 20/70  x 14000 = 4000
Share of C = 10/70  x 14000 = 2000

Answers:

The person X's share is 8000

The person Y's share is 4000

The person Z's share is 2000


Example 2


Divide 2562 apples get the three sales man namely Junith, Kumar and Sammy. Such that ratio between their shares as
Junith : Kumar= 4 : 5
Kumar : Sammy = 8 : 10
Solution:
Let amount to be divide = 2562
Ratio of their share

Junith   :  Kumar    :  Sammy

4      :       5    :

:        8    :    10

32      :      40    :    50

The   Sum of ratios = 32 + 40 + 50 = 122
Share of Junith   = 32/122  x  2562 = 672
Share of Kumar  =40/122   x  2562 = 840
Share of Sammy = 50/12   x  2562 = 1052

Answer:

Junith's share is 672

Kumar's share is 840

Sammy's share is 1052

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Practice Problems – Continued Sum


Three persons P, Q and S earned a profit of 8000 Rupees in a business. Their share in profit is as follows
P : Q = 4   : 2
Q : S = 10 : 5
Find share of S person.

Answer: The share of S person is 1143.