A number increased by 20% becomes 90. What is the number?

Question 23 of 45intermediate🔧 ApplyNumerical2 marks

Correct Answer

Given: A number increased by 20% becomes 90. Let: The number be $x$ .

Equation: $x + 20\% \text{ of } x = 90$ Simplification: $120\% \text{ of } x = 90$ or $1.20x = 90$

Calculation: $x = \frac{90}{1.20} = 75$

Answer: The number is 75.

Exercise: Figure it Out (Section 3) | Q: 6 | (Page Page 20)

For More Understanding

The chapter explains that when a number increases by 20%, it becomes 120% of its original value. We divide by 1.20 to find the original number.