Question

75% increase followed by 50% decrease is it greater than to original

Answer 1

Answer:

• Set original amount = x

After a 75% increase, it would become

x + 75%x = x + 0.75x = x(1 + 0.75) = 1.75x

After a 50% decrease, it would become

1.75x - 50%(1.75x) = 1.75x - 0.5(1.75x) = 1.75x - 0.875x = 0.875x = $\frac{7}{8} x$

Because $\frac{7}{8} x$ is less than x, the new amount would be less than the original.