Question

When 20% of a number is added to 36 then the resultant number is 200% of the actual number. Then find 40% of actual number.

• A. 10
• B. 8
• C. 12
• D. 6

Answer 1

Answer:

B. 8

Calculations:

Let the actual number be x 

According to the question

⇒ 20% of x + 36 = 200% of x 

⇒ $(\frac{20}{100})\times{x}+36=(\frac{200}{100})\times{x}$

 

⇒ $\frac{x}{5}$ + 36 = 2x 

⇒ 36 = 2x – $\frac{x}{5}$

⇒ $\frac{9x}{5}$ = 36 

⇒ x = 20 

40% of x

⇒ $(\frac{40}{100})\times{20}$ = 8 

∴ 40% of actual number is 8