Verified Answer :

To increase an amount by 7%, you would want to use 1.07 as the multiplier. To decrease it, you would use 0.93

We will solve the problem for both cases:


Case 1:

If the amount increases by 7% we have the number for which we are going to multiply is given by:

\(x = (\frac{1}{100}) * (100 + 7)
\)

\(x = (\frac{1}{100}) * (107)

x = 1.07
\)


Case 2:

If the amount decreases by 7% we have the number for which we are going to multiply is given by:

\(x = (\frac{1}{100}) * (100-7)
\)

\(x = (\frac{1}{100}) * (93)

x = 0.93
\)


Answer:

single multiplier you would use for each case is:

x = 1.07 (increase)

x = 0.93 (decrease)