MATH SOLVE

3 months ago

Q:
# Last year, sales at Company X were 10% greater in February than in January, 15% less in March than in Feb, 20% greater in April than in March, 10% less in May than in April, and 5% greater in June than in May. In which month were sales closest to Jan?a. Febb. Marc. Aprd. Maye. June

Accepted Solution

A:

Answer: d. MayStep-by-step explanation:Working through the chain, we have ... Feb = 1.10×Jan Mar = 0.85×Feb = 0.935×Jan Apr = 1.20×Mar = 1.122×Jan May = 0.90×Apr = 1.0098×Jan Jun = 1.05×May = 1.06029×JanThe multiplier that is closest to 1 is 1.0098, so May has sales closest to January._____The percentage increase or decrease can be converted to a multiplier by adding it to 1. If p% is the percentage change, then adding it to an original value looks like ... original + p% × original = original × (1 +p%) . . . . . . . distributive propertyAnd p% translates to a decimal number by replacing % with /100 or ×0.01. 10% increase: original × (1 + 10/100) = original × 1.10 15% decrease: original × (1 - 15/100) = original × 0.85