In a film shooting, A and B received money in a certain ratio and B and C also received the money in the same ratio. If A gets

Question

Answer

Film Shooting Payment Ratio

Problem Statement:

In a film shooting, A and B received money in a certain ratio and B and C also received the money in the same ratio. If A gets X amount, find the total amount received by all three.

Solution:

Step 1: Express the ratios in terms of a common factor

Let the ratio of A and B be a:b and the ratio of B and C be b:c. We can express these ratios in terms of a common factor as:

A:B = a:b

B:C = b:c

A:B:C = a:b:c (multiplying both the ratios)

Step 2: Calculate the amount received by B

Let the amount received by A be X. Then, the amount received by B can be expressed as:

A:B = a:b

X:B = a:b (substituting X for A)

B = X*b/a

Step 3: Calculate the amount received by C

Using the ratio of B and C, we can express the amount received by C as:

B:C = b:c

B:Total amount = b:(a+b) (adding the amounts received by A and B)

C:Total amount = c:(a+b) (multiplying both the sides by c)

C = (c*(a+b)*b)/(a*b)

Step 4: Calculate the total amount received by all three

The total amount received by all three can be expressed as:

Total amount = A + B + C

Total amount = X + X*b/a + (c*(a+b)*b)/(a*b)

Step 5: Simplify the expression

We can simplify the above expression by taking LCM as (a*b), which gives:

Total amount = (X*a*b + X*b^2/a + c*b*(a+b))/a*b

Total amount = (X*b + X*b^2/a + c*b)/a

Step 6: Substitute the values and solve the expression

Substituting the given values, we get:

X = A = 2

a:b = 1:2

b:c = 2:3

Substituting these values in the expression we got in Step 5, we get:

Total amount = (2*

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