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Q=(A-I)/(L)
The formula gives the quick assets ratio 
Q in terms of a company's current assets, 
A; inventories, 
I; and current liabilities, 
L. Which of the following equations correctly gives the inventories in terms of the quick assets ratio, the current assets, and the current liabilities?
Choose 1 answer:
(A) 
I=QL-A
(B) 
I=A-QL
(c) 
I=L(Q-A)
(D) 
I=L(A-Q)

Q=AIL Q=\frac{A-I}{L} \newlineThe formula gives the quick assets ratio Q Q in terms of a company's current assets, A A ; inventories, I I ; and current liabilities, L L . Which of the following equations correctly gives the inventories in terms of the quick assets ratio, the current assets, and the current liabilities?\newlineChoose 11 answer:\newline(A) I=QLA I=Q L-A \newline(B) I=AQL I=A-Q L \newline(C) I=L(QA) I=L(Q-A) \newline(D) I=L(AQ) I=L(A-Q)

Full solution

Q. Q=AIL Q=\frac{A-I}{L} \newlineThe formula gives the quick assets ratio Q Q in terms of a company's current assets, A A ; inventories, I I ; and current liabilities, L L . Which of the following equations correctly gives the inventories in terms of the quick assets ratio, the current assets, and the current liabilities?\newlineChoose 11 answer:\newline(A) I=QLA I=Q L-A \newline(B) I=AQL I=A-Q L \newline(C) I=L(QA) I=L(Q-A) \newline(D) I=L(AQ) I=L(A-Q)
  1. Start with given formula: First, let's start with the given formula for the quick assets ratio:\newlineQ=(AI)/LQ = (A - I) / L\newlineWe need to solve for II, which represents inventories.
  2. Isolate II by multiplying: To isolate II, we first multiply both sides of the equation by LL to get rid of the denominator: Q×L=AIQ \times L = A - I
  3. Get II on one side: Next, we want to get II on one side of the equation by itself. To do this, we can add II to both sides and subtract Q×LQ \times L from both sides:\newlineI+Q×L=AI + Q \times L = A\newlineI=AQ×LI = A - Q \times L
  4. Express II in terms: Now we have the inventories, II, expressed in terms of the quick assets ratio, QQ, the current assets, AA, and the current liabilities, LL:I=AQ×LI = A - Q \times LThis matches option (B) from the given choices.

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