Option C) 125n is the expression that does not represent “increase a quantity n by 25%
Step-by-step explanation:
The given expressions are for the quantity n which is increased by 25%.
- Let us consider that n = 100.
- The increase of n by 25 % is equal to 125.
- Check for each options by substituting n=100 and the expression gives 125 or not.
- Check which option does not represent the condition (increase of n by 25%)
Option A) n + 0.25n
Put n = 100,
⇒ 100 + 0.25(100)
⇒ 100 + 25
⇒ 125
So, option A) represents the given condition.
Option B) (1 + 0.25)n
Put n = 100,
⇒ (1+0.25) 100
Multiply 100 with each terms inside the bracket.
⇒ 100 + 25
⇒ 125
So, option B) represents the given condition.
Option C) 125n
Put n = 100,
⇒ 125 × 100
⇒ 12500
So, option C) does not represents the given condition.
Option D) 1 1/4 n
Put n = 100,
Convert the mixed fraction to proper fraction
⇒ (5/4) n
⇒ (5/4) 100
⇒ 500 / 4
⇒ 125
So, option D) represents the given condition.
