# Khan/khan-exercises

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 Percentage word problems 1
randRange( 1, 150 ) randRange( 2, 100 )

What is A_SIMPLE% of B_SIMPLE? (Round to nearest whole number)

round((A_SIMPLE * B_SIMPLE) / 100)

A_SIMPLE / 100 \cdot B_SIMPLE \approx round((A_SIMPLE * B_SIMPLE) / 100)

B_SIMPLE is A_SIMPLE% of what number? (Round to the hundredths place)

round(((B_SIMPLE * 100) / A_SIMPLE) * 100) / 100

Let x be the number that B_SIMPLE is A_SIMPLE% of.

A_SIMPLE / 100 \cdot x = B_SIMPLE

x=B_SIMPLE/A_SIMPLE / 100

x \approxround((B_SIMPLE * 100/A_SIMPLE * 100))/100

randRange( 2, 100 ) BANK_FEWER + randRange(5, 2 * BANK_FEWER + 10 )

person(1) has BANK_MORE dollars in the bank today. Yesterday, he(1) had BANK_FEWER dollars in the bank. By what percentage did person(1)'s bank account increase over the past day? (Round your percentage to the hundredths place, such as 23.51\%)

round(((BANK_MORE - BANK_FEWER) * 10000) / BANK_FEWER) / 100

The bank account grew by BANK_MORE - BANK_FEWER = BANK_MORE - BANK_FEWER dollars

\frac{BANK_MORE - BANK_FEWER}{BANK_FEWER} \approx round(((BANK_MORE - BANK_FEWER) * 10000) / BANK_FEWER) / 100\%

person(1) has BANK_FEWER dollars in the bank today. Yesterday, he(1) had BANK_MORE dollars in the bank. By what percentage did person(1)'s bank account decrease over the past day? (Round your percentage to the hundredths place, such as 23.51\%)

round(((BANK_MORE - BANK_FEWER) * 10000) / BANK_MORE) / 100

The bank account decreased by BANK_MORE - BANK_FEWER = BANK_MORE - BANK_FEWER dollars

\frac{BANK_MORE - BANK_FEWER}{BANK_MORE} \approx round(((BANK_MORE - BANK_FEWER) * 10000) / BANK_MORE) / 100\%

randRange( 10, 150 ) randRange( 50, 999 ) round(YEAR_THIS * 10000 / (100 + YEAR_PERCENT_MORE)) / 100

person(1) has YEAR_PERCENT_MORE% more money today than he(1) did this time last year. If person(1) has YEAR_THIS dollars today, how many dollars did he(1) have this time last year? (Round to the nearest cent [hundredth of a dollar])

YEAR_LAST

Let x be the amount of money that he(1) had last year.

x + YEAR_PERCENT_MORE / 100x = YEAR_THIS

(100 + YEAR_PERCENT_MORE) / 100x = YEAR_THIS

x = \frac{YEAR_THIS}{(100 + YEAR_PERCENT_MORE) / 100}

x \approx YEAR_LAST

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