Question

$470 is raised by 30%. What is the value after the increase?

Answer 1

$141

Percentage increase = 30% × 470

New value = 470 + Percentage increase

New value =

470 + Percentage increase =

470 + (30% × 470) =

470 + 30% × 470 =

(1 + 30%) × 470 =

(100% + 30%) × 470 =

130% × 470 =

130 ÷ 100 × 470 =

130 × 470 ÷ 100 =

61,100 ÷ 100 =

611

Calculate absolute change (actual difference)

Absolute change (actual difference) =

New value - 470 =

611 - 470 =

141

Answer 2

Answer: $611

Work Shown:

30% of 470 = 0.30*470 = 141

The value goes up by $141, so the answer would be 470+141 = $611

A slight shortcut would be to say

1.30*470 = 611

This works because 1.30 = 1 + 0.30 = 100% + 30%