BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

GMAT Prep - Computing Income Tax - No Idea

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
Newbie | Next Rank: 10 Posts
Posts: 2
Joined: Tue Dec 29, 2009 3:54 am

GMAT Prep - Computing Income Tax - No Idea

by paulee » Tue Dec 29, 2009 4:15 am
Before being simplified, the instructions for computing income tax in country R were to add 2 percent of one's annual income to the average (arithmetic mean) of 100 units of country R's currency and 1 percent of one's annual income.

Which of the following represents the simplified formula for computing the income tax, in country R's currency, for a person in that country whose annual income is I?

The answer choice is : 50 + (I/40).

Please help me to solve this problem.

Regards,

P.
Top
Source: — Problem Solving |
Master | Next Rank: 500 Posts
Posts: 158
Joined: Tue Sep 30, 2008 8:47 am
Thanked: 23 times
Followed by:1 members
GMAT Score:660

by DeepakR » Tue Dec 29, 2009 4:41 am
To add 2 percent of one's annual income To [the average (arithmetic mean) of 100 units of country R's currency and 1 percent of one's annual income. ]

Consider this phrase,
[i][the average (arithmetic mean) of 100 units of country R's currency and 1 percent of one's annual income][/i]

(100 + (I/100))/2 = Avg arithmetic mean of 100 and 1% of I = 50 + (I/200)

Now, add 2% of one's annual income to this as follows: = (2I/100) + 50 +(I/200) = I/40 + 50 = OA

-Deepak
Top
Senior | Next Rank: 100 Posts
Posts: 34
Joined: Wed Nov 11, 2009 11:23 am
Thanked: 8 times
Followed by:1 members

by amittilak » Wed Dec 30, 2009 9:25 am
The only confusing part of this question is "average (arithmetic mean) of 100 units of country R's currency and 1 percent of one's annual income"
What it really means is much simpler: average of 100 and amount equal to 1% of Income, both of which have same units. 1% of income is I*1/100 which equals I/100. Average of I/100 and 100 is {100 + (I/100)}/2.
Now, {100 + (I/100)}/2 can be rewritten as 100/2 + (I/100)/2 = 50 +I/200
2% of I = 2I/100 = I/50
Now adding 2% of I + the average term,
I/50 + 50 + I/200 = 4I/200 + 50 + I/200 = 5I/200 + 50 = I/40 + 50
Top
Post new topic Post Reply
• Page 1 of 1