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A is 20% less than B,B is 10% less than ...

A is 20% less than B,B is 10% less than C.C is 30% more than D. If D is 400 then, what is the value of A?

A

374.4

B

368.6

C

382.2

D

354.2

Text Solution

AI Generated Solution

The correct Answer is:
To find the value of A given the relationships between A, B, C, and D, let's break it down step by step. ### Step 1: Determine the value of D We are given that D = 400. ### Step 2: Calculate the value of C C is 30% more than D. Therefore, we can express C as: \[ C = D + 0.3D = 1.3D \] Substituting the value of D: \[ C = 1.3 \times 400 = 520 \] ### Step 3: Calculate the value of B B is 10% less than C. Therefore, we can express B as: \[ B = C - 0.1C = 0.9C \] Substituting the value of C: \[ B = 0.9 \times 520 = 468 \] ### Step 4: Calculate the value of A A is 20% less than B. Therefore, we can express A as: \[ A = B - 0.2B = 0.8B \] Substituting the value of B: \[ A = 0.8 \times 468 = 374.4 \] ### Final Answer The value of A is \( 374.4 \). ---
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