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eduard
3 years ago
14

DJFats Company determined that the 2019 ending inventory had been overstated by $11,200 AND that the 2019 beginning inventory wa

s overstated by $6,600. Before the effect of these errors, 2019 pretax income had been computed as $108,000. What should be reported as the correct 2019 pretax income before taxes? 5 points: a. 103,400 b. 125,800 c. 114,600 d. 90,200 e. None of the above, the correct answer is:
Business
1 answer:
horrorfan [7]3 years ago
6 0

Answer:

a. $103,400

Explanation:

As we know that

Cost of goods sold = Beginning inventory + purchases - ending inventory

And,  

Gross profit = Sales revenue - cost of goods sold

Since in the question it is given that

The ending inventory and beginning inventory had been overstated by $11,200 and $6,600 respectively

Since overstatement in the initial inventory raises the cost of the goods sold and decreases by that amount the gross profit & net income

And, overstatement in ending inventory reduced cost of goods sold and raised gross profit & net income by that amount.

So for overstated ending inventory the amount should be deducted and for overstated beginning inventory the condition would be reverse

So, the correct amount is

= incorrect pretax net income + overstatement in beginning inventory - overstatement in ending inventory

= $108,000 + $6,600 - $11,200

= $103,400

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The applicable formula is;
A = P(1-r)^n

Where;
A = Final purchasing power
P = Current purchasing power
r = inflation
n = Number of years when P changes to A

Confirming the first claim:
A = 1/2P (to be confirmed)
P = $3
r = 7% = 0.07
n = 10.25 years

Using the formula;
A = 3(1-0.07)^10.25 = 3(0.475) ≈ 3(0.5) = $1.5
And therefore, A = 1/2P after 10.25 years.

Now, give;
P = $9
A = 1/4P = $9/4 = $2.25
r = 6.5% = 0.065
n = ? (nearest year).

Substituting;
2.25 = 9(1-0.065)^n
2.25/9 = (1-0.065)^n
0.25 = (1-0.065)^n
ln (0.25)= n ln(1-0.065)
-1.3863 = -0.0672n
n = (-1.3863)/(-0.0672) = 20.63 years

To nearest year;
n = 21 years

Therefore, it would take approximately 21 years fro purchasing power to reduce by 4. That is, from $9 to $2.25.
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3 years ago
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