Question

Find the value of $\frac{1}{5}+999\frac{494}{495}\times 99$

• A. $99,000$
• B. $10,000$
• C. $99,999$
  
• D. $10,101$

Answer 1

Answer: (A)

$99,000$

$\frac{1}{5}+999\frac{494}{495}\times 99=\frac{1}{5}+(999+\frac{494}{495})\times 99=\frac{1}{5}+999\times 99+\frac{494}{495}\times 99$

$\frac{1}{5}+(1000-1)(100-1)+\frac{494}{5}=\frac{1}{5}+100000-1000-100+1+\frac{494}{5}$

$=\frac{1}{5}+100001-1100+\frac{494}{5}=\frac{1}{5}+98901+\frac{494}{5}=\frac{1}{5}+98901+\frac{494}{5}=\frac{495}{5}+98901$

$=99+98901=99000$