Question

The price of an item decreased by $20\%$ to 200$.Thenlaterthepricedecreasedagainfrom$ $200$ to 150$.Whatisthepercentofdecreasefromtheoriginalpricetothefinalpriceof$ $150$?

• A. $40$ %
• B. $30$ %
• C. $20$ %
• D. $50$ %

Answer 1

Answer: (A)

$40$ %

Let original price of item be $\$x.$

First the price of an item decreased by $20\%$ to $\$200$

$\therefore$ $x-20\%ofx=200$

$\Rightarrow$ $x-0.2x=200$

$\Rightarrow$ $0.8x=200$

$\Rightarrow$ $x=\frac{200}{0.8}$

$\therefore$ $x=\$250$

Now, The percentage decrease from the original price $\$250$ to $\$150$ is given by

$\Rightarrow$ $\left(\frac{250-150}{250}\right)100\%$

$\Rightarrow$ $\frac{100}{250}\times 100\%$

$\Rightarrow$ $40\%$

$\therefore$ The required answer is $40\%$.