##### Math question Help needed

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Last year budget for government was \$4896 and this year \$5350. \$4896 is to be reference value. What is relative change in budget from last year to this year in %? The following year budget will be \$5177, whatâ€™s the decrease from this year budget of \$5350 in %? If next year budget is changed so that it is 8% less than this year budget of \$5350, what is the amount of next year budget?

Oct 23rd, 2015

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Relative change = (New value - Reference value)/Reference value x 100%

Relative change = $\frac{5350-4896}{4896}\times100\%\\$

Relative change = $\frac{454}{4896}\times100\%\\$

Relative change = $9.3\%\\$

Percentage change = $\frac{5177-5350}{5350}\times100\%\\$

Percentage change = $\frac{-173}{5350}\times100\%\\$

Percentage change = $-3.2\%\\$

So the budget decreased by 3.2%.

New budget = 5350 - 8% of 5350

New budget = $5350-\frac{8}{100}\times5350$

New budget = $5350-428$

New budget = $\4922$

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Oct 23rd, 2015

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Oct 23rd, 2015
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Oct 23rd, 2015
Dec 4th, 2016
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