by what percent will the product of 2 number decrease if one of the is decreased by 25% and the other by 50%

1 thought on “by what percent will the product of 2 number decrease if one of the is decreased by 25% and the other by 50%”

1. Answer:

   The product has decreased by 1 – 0.375, or 0.625, or 62.5%

   Step-by-step explanation:

   well, let’s say the numbers are “a” and “b”

   so a * b = ab

   ok… now, if we reduce “a” by 25%, that means the new size is just 75% of the old one, how much is 75% of a? well, (75/100) * a, or 0.75a

   now let’s reduce “b” by 50%, that means the new size is 50% or half, how much is 50% of b? well (50/100)*b, or 0.5b

   \begin{gathered}\bf \begin{cases} a\cdot b\implies ab\\ 0.75a\cdot 0.5b\\ \qquad 0.75\cdot 0.5ab\\ \qquad 0.375ab \end{cases}\end{gathered}

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   a⋅b⟹ab

   0.75a⋅0.5b

   0.75⋅0.5ab

   0.375ab

   now, the new size of “ab” is just 0.375ab… well, let’s revert the decimal format by simply multiplying by 100

   0.375 * 100, is 37.5%

   the new size of “ab” is just 37.5% of the original “ab”

   it decreased by 100 – 37.5 or 62.5%

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