Question

A,B and C are three quantities. A varies directly with B when C is constant. A varies directly with C when B is constant. A=6000 if B=20 and C=30.Find A if B=40 and C=60.

Answer 1

A=24000 is the answer.

Answer 2

The value of "A" is 24000.

Explanation:

There are 3 quantities A, B and C that are given in the above question that are connected to each other by an expression.

• where A and B are varying quantities such that B is proportional to A directly with C as constant and A is proportional to C with B as constant.

We are given that the value of A =6000

When the value of B is 20 and C is 30. A= kBC ⇒ k =$\frac{A}{BC}$

⇒ $\frac{6000}{(20 \times 30)}$ = 10

k= 10

Now if B=40 and C=60 then value of A will be  

kBC= $10 \times 40 \times 60$ =24000

Hence the value of A will be 24000.

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