Question

On an article with marked price Rs. $20000$ a customer has a choice between the successive discounts of $20\%$, $20\%$ and $10\%$ and three successive discounts of $40\%$, $5\%$ and $5\%$. How much can he save by choosing the better offer (in Rs.)?

Answer 1

Given, M.P. $=$ Rs. $20000$
S.P. after choosing $1^{st}$ set of successive discounts $=80\%$ of $80\%$ of $90\%$ of Rs. $20000$
$=\frac{80}{100}\times \frac{80}{100}\times \frac{90}{100}\times$ Rs. $20000=$ Rs. $11520$
S.P. after choosing $2^{nd}$ set of successive discounts $=60\%$ of $95\%$ of $95\%$ of Rs. $20000$
$=\frac{60}{100}\times \frac{95}{100}\times \frac{95}{100}\times$ Rs. $20000=$ Rs. $10830$
$\therefore$ The second offer is better and the customer can save $($Rs. $11520-$ Rs. $10830)=$ Rs. $690$