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income tax

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Master | Next Rank: 500 Posts
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by shibal » Thu Jul 09, 2009 12:28 pm
before being simplified, the instructions for computing income tax in Pentel were to add 2% of one's annual income to the avg of 100 units of Pentel's currency and 1% of one's annual income. If the annual income of a person is I, what is the formula to compute the income tax?

OA [spoiler]50+I/40[/spoiler]
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by ssmiles08 » Thu Jul 09, 2009 12:40 pm
break the sentences down.

1) 2*(I)/100

2) avg = [100 + I/100]/2

so you are adding 2*(I)/100 + {[100 + I/100]/2}

simplify:

[10,000 + I]/100 *(1/2) = (10,000 + I)/200 + 2I/100

10,000/200 + 5I/200 = 50 + I/40
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by shibal » Thu Jul 09, 2009 1:55 pm
i didn't get the second part about avg and 1% thingy....
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by truplayer256 » Thu Jul 09, 2009 2:20 pm
i didn't get the second part about avg and 1% thingy....
The problem clearly tells you to add 2% of one's annual income I to the AVERAGE of 100 units of Pentel's currency and 1% of one's annual income I. That's what Ssmiles has done in the second part of his explanation. He has clearly taken the average of 1% of I and 100 units. Clearly they're two seperate numbers, so they have to be divided by two when their avg is taken.
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by shibal » Thu Jul 09, 2009 2:29 pm
i didn't realize i had to DO the avg of 100 and 1%, i tought that i had to get the avg and add 1%... thanks guys...
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