Question

If price of a book is first decreased by $25$% and then increased by $20$%, the net change in the price of the book will be

• A. $10$% decreased
• B. $5$% decreased
• C. No change
• D. $5$% increase

Answer 1

Answer: (A)

$10$% decreased

Net change in price $=(-25+20-\frac{25\times 20}{100})$%
$=(-25+20-5)$% $=10$%
$[\because$ Negative sign shows decrease.]
Hence, the price of book will decrease by $10$%.