Question

the expression 1.35n represents the result of increasing the positive quantity n by p%. what is the value of p? a 65 b 35 c 3.5 d 0.65

Explanation:

Step1: Recall percentage - increase formula

When a quantity $n$ is increased by $p\%$, the new quantity is $n+\frac{p}{100}n=(1 + \frac{p}{100})n$.

Step2: Set up the equation

We are given that $(1+\frac{p}{100})n = 1.35n$. Since $n>0$, we can divide both sides of the equation by $n$ to get $1+\frac{p}{100}=1.35$.

Step3: Solve for $p$

Subtract 1 from both sides: $\frac{p}{100}=1.35 - 1=0.35$. Then multiply both sides by 100 to find $p = 35$.

Answer:

B. 35