Question

Tax returns filed manually have a 20% chance of containing errors, while tax returns filed electronically have a 0.05% chance of containing the same. If 2.7 million tax returns are filed each way, how many more erroneous manually filed returns will there be than erroneous electronically filed returns?. a.. 270,675. b.. 538,650. c.. 541,350. d.. 269,325.

Answer 1

errors = 20%
errors on tax returns =0.05%
 million tax returns=2.7

manual filing will be
2,700,000 x 20% = 540,000
then the
electronic filing will be
2,700,000 x 0.05% = 1,350
so by substracting
540,000 - 1,350 = 538,650
so correct answer is B
hope it helps

Answer 2

There are $\boxed{538650}$ more erroneous manually filed returns will there be than erroneous electronically filed returns. Option (b) is correct.

Further Explanation:

Given:

The options are as follows,

(a). 270675

(b). 538650

(c). 541350

(d). 269325

Explanation:

The total tax return is 2.7 million.

The errors on the tax return for electronic filling are $0.05\%.$

The errors on the tax return for manual filling are $20\%.$

Number of errors in filing tax return manually can be calculated as follows,

$\begin{aligned}{\text{Errors in manual filling}} &= 2700000 \times 20\%\\&= 2700000 \times \frac{{20}}{{100}}\\&= 540000\\\end{aligned}$

Number of errors in filing tax return electronically can be calculated as follows,

$\begin{aligned}{\text{Errors in electronically filling}} &= 2700000 \times 0.05\% \\&= 2700000 \times \frac{{0.05}}{{100}}\\&= 1350\\\end{aligned}$

The difference in the errors can be calculated as follows,

$\begin{aligned}{\text{Difference}} &= 540000 - 1350\\&= 538650\\\end{aligned}$

There are $\boxed{538650}$ more erroneous manually filed returns will there be than erroneous electronically filed returns. Option (b) is correct.

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Answer details:

Grade: High School

Subject: Mathematics

Chapter:Tax and Returns

Keywords:Tax, returns, filed, tax return, 20%, chance, errors, electronically, 0.05%, containing errors, chance, same, 2.7 million, each way, manually, manually filed, erroneous, 270575, income tax, salary, tax on salary.