Question

In an office there were initially 'n' employees. The HR manager first hired p$\%$ employees, then after a month q$\%$ employees left the office, then there were finally 'n' employees remainded in the office, the value of p$-$q is.

• A. pq
• B. $\frac{pq}{100}$
• C. $\frac{p}{q}$
• D. $\frac{100p}{q}$

Answer 1

Answer: (B)

$\frac{pq}{100}$

There were $n$ employees in the office

$n\times \left(\frac{100+p}{100}\right)\left(\frac{100-q}{100}\right)=n$

$\Rightarrow (100+p)(100-q)=10000$

$\Rightarrow 10000+(p-q)100-pq=10000$

$\Rightarrow (p-q)100=pq$

$\Rightarrow p-q=\frac{pq}{100}$