To find out the share of C, we need to determine the ratio in which the total sum of Rs. 88000 is divided among A, B, and C.
Let the share of A be x, the share of B be y, and the share of C be z.
According to the given conditions:
- For every rupee that A gets, B gets 75 paise. This can be written as: x:y = 1:0.75 = 4:3
- For every rupee that B gets, C gets 90 paise. This can be written as: y:z = 1:0.9 = 10:9
We can equate the two ratios to find the relationship between x, y, and z:
4:3 = 10:9
To solve this proportion, we can cross-multiply:
4 * 9 = 3 * 10
36 = 30
This is not true, so the given ratios are not equal.
To find the correct ratios, we can assume a common multiple of 36.
The ratio for A, B, and C can be written as:
A:B:C = 4x:3x:3.6x (where x is the common multiple)
The total sum of Rs. 88000 is divided in the ratio 4:3:3.6, which can be added as follows:
4x + 3x + 3.6x = 88000
Simplifying this equation, we get:
10.6x = 88000
x ā 8301.89
Now, we can find the share of C:
C's share = 3.6x ā 29887.08
Therefore, C's share is approximately Rs. 29887.
Hence, the correct answer is option C) 29887.