Question

The original price of a novel is $100. The successive discounts offered by the store on the novel is 25% and 20%, then

• A. total discount on the novel is $\$40$
• B. total discount on the novel is $\$45$
• C. selling price of the novel is $\$55$
• D. selling price of the novel is $\$60$

Answer 1

Answer: (A), (D)

selling price of the novel is $\$60$

Given, the original price of the novel is $\$100.$

Given, successive percentage of discounts are $25\%$ and $20\%.$

First discount amount $=\text{25\% of original price}$
$=25\%\text{of}\$100$
$=\frac{25}{100}\times \$100$
$=\frac{25}{25\times 4}\times \$100$
$=\frac{1}{4}\times \$100$
$=\$25$

$\text{Price after first discount = Original price - First discount amount}$
$=\$100-\$25=\$75$

Second discount amount $=\text{20\% of price after first discount}$
$=20\%\text{of}\$75$
$=\frac{20}{100}\times \$75$
$=\frac{20}{20\times 5}\times \$75$
$=\frac{1}{5}\times \$75$
$=\$15$

$\text{Total discount amount = First discount amount + second discount amount}$
$=\$25+\$15$
$=\$40$

$\text{Selling price = Original price - Total discount amount}$
$=\$100-\$40$
$=\$60$