Solve for the unknown. Round decimals to hundredths and percents to the nearest tenth.
850 increased by 40% =

Sales at LL Boutique decreased 10% this month compared to last month. If sales this month were $175,581, what were the sales (in $) last month?

Shareholders in an electronics company were informed that the company's market share increased from 4.5% to 5.4%, a rise of 0.9 percentage points. What percent increase in sales does this represent?

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sqdancefan sqdancefan · Answer 1 · 2019-08-12T22:47:44+02:00

Answer:

Step-by-step explanation:

1. "Increased by 40%" is generally understood to mean that the amount of increase is 40% of the original value. That is, ...

850 increased by 40% = 850 + 40%×850 = 850(1 + 0.40)

= 1.40×850 = 1190

850 increased by 40% is 1190.

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2. As above, "decreased by 10%" is taken to mean the amount of decrease is 10% of the original amount.

(last month's sales) - 10%×(last month's sales) = $175,581

(last month's sales)×(1 - 0.10) = $175,581 . . . . collect terms

(last month's sales) = $175,581/(0.90) = $195,090

Sales last month were $195,090.

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3. The percentage change in market share is ...

(change in share)/(original share) × 100% = 0.9/4.5 × 100% = 20%

Assuming sales are proportional to market share, the increase in sales is 20%.