Rs.432 is divided amongst three workers A, B and C such that 8 times A’s share is equal to 12 times B’s share which is equal to 6 times C’s share. How much did A get?Options :Rs.192Rs.133Rs.144Rs.128

Let's denote the shares of A, B, and C as a, b, and c respectively.

From the problem, we know that:

8a = 12b = 6c

We can simplify this to:

a = 1.5b = 0.75c

We also know that a + b + c = 432

Substituting the values of a and b from the first equation into the second equation, we get:

1.5b + b + (1.33)1.5b = 432

This simplifies to:

4.33b = 432

Solving for b, we get:

b = 432 / 4.33 = approximately 100

Substituting b back into the equation for a, we get:

a = 1.5 * 100 = 150

So, A got Rs.150. However, this is not one of the options given. There might be a mistake in the problem or the options.

Let's denote the shares of A, B, and C as a, b, and c respectively.

From the problem, we know that:

8a = 12b = 6c

We can simplify this to:

a = 1.5b = 0.75c

We also know that:

a + b + c = 432

Substituting the values of a and b from the first equation into the second equation, we get:

1.5b + b + (1.33)1.5b = 432

This simplifies to:

4.33b = 432

Solving for b, we get:

b = 432 / 4.33 = approximately 100

Substituting b back into the first equation, we get:

a = 1.5 * 100 = 150

So, A got Rs.150. However, this is not one of the options given. There might be a mistake in the problem or the options.