A is directly proportional to B and also directly proportional to C. When B = 6 and C = 2, A = 24. Find the value of A when B = 8 and C = 3.a)42b)40c)58d)48e)None of theseCorrect answer is option 'D'. Can you explain this answer?

Question

Answer

Given, A is directly proportional to B and also directly proportional to C.

This can be written as A = k * B * C, where k is the constant of proportionality.

When B = 6 and C = 2, A = 24.
So, 24 = k * 6 * 2
Solving for k, we get k = 2.

Now, we need to find the value of A when B = 8 and C = 3.
Using the same formula, we get A = 2 * 8 * 3 = 48.

Therefore, the value of A when B = 8 and C = 3 is 48, which is option D.

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