Question

The difference between increasing a number by 8% and decreasing it by 7% is 75.
What is the number?
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Answer 1

Answer:

X=500

Step-by-step explanation:

Let the number = x

(100% + 8%)x - (100% - 7%)x = 75

108%x - 93%x = 75

1,08x - 0,93x = 75

0,15x = 75

x = 75 : 0.15

x = 500

The number is 500

Answer 2

Answer:

Let the Number be x

⇢ 8% Increase - 7% Decrease = 75

⇢ (100+8)% of x - (100-7)% of x = 75

⇢ 108% of x - 93% of x = 75

⇢ 15% of x = 75

⇢ x = 75 × 100/15

⇢ x = 5 × 100

⇢ x = 500

∴ Hence, the required Number is 500.