Question

A pen is listed for Rs. $12$. A discount of $15\%$ is given on it. A second discount is given bringing the price down to Rs. $8.16$. The rate of second discount is

• A. $15\%$
• B. $18\%$
• C. $20\%$
• D. $25\%$

Answer 1

The correct option is C $20\%$

M.P. $=$ Rs. $12$, discount rate $=15\%$
$\therefore$ Net price after $1^{st}$ discount $=\frac{85}{100}\times 12=$ Rs. $10.20$
Final selling price $=$ Rs. $8.16$
$\therefore$ Additional discount $=$ Rs. $10.20-$ Rs. $8.16=$ Rs. $2.04$
$\therefore$ Additional discount rate $=(\frac{2.04}{10.20}\times 100)\%=20\%$.