Question

A bedroom set that normally sells for $1360 is on sale for 5% off. If sales tax rate is 8%, what is the total price of the bedroom set if it is bought while on sale?

Answer 1

$\bf {{ a}}\%\ of\ b \implies \cfrac{{{ a}}}{100}\cdot b\implies {{ a}}\div 100\cdot b\\ -----------------------------\\ thus\implies {{5}}\%\ of\ 1360 \implies \cfrac{{{ 5}}}{100}\cdot 1360\implies {{ 5}}\div 100\cdot 1360\implies \boxed{a} \\\\ \textit{so, the discounted price is }1360-\boxed{a} \\ \textit{now, there's an 8\% tax on that amount, so the final cost is}$$\bf {{ 8}}\%\ of\ 1360-\boxed{a} \\\\ \implies \cfrac{{{ 8}}}{100}\cdot 1360-\boxed{a} \implies {{ 8}}\div 100\cdot 1360-\boxed{a} \implies \boxed{b} \\\\\\ \textit{final cost}\implies (1360-\boxed{a})+\boxed{b}$