Question

When the price of sugar increased by 10% the sale decreased by 10%. How much
difference was there in the amount of sale?​

Answer 1

Answer:

$x = - \frac{1}{100}$

Step-by-step explanation:

• Based on the given condition, write

$x = (0.1 + 1)(1 - 0.1) - 1$

• Expand the expression using

$(a - b)(a + b) = {a}^{2} - {b}^{2}$

:

$x = 1 - {0.1}^{2} - 1$

• Calculate the power.
• $x = 1 - 0.01 - 1$
• Calculate the sum or difference.
• $x = - 0.01$
• Express the number in fractions.

$x = - \frac{1}{100}$