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?

There are 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

The errors on the tax return for manual filling are

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

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

The difference in the errors can be calculated as follows,

There are 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.