Question

A certain appliance costs a merchant 30$.Atwhatpriceshouldthemerchantselltheapplianceinordertomakeagrossprofitof$50$ percent of the cost of the appliance?

• A. $ $48$
• B. $ $45$
• C. $ $46.25$
• D. $ $38$

Answer 1

The correct option is B $ $45$

$\Rightarrow$ Cost price of appliance is $\$30$

$\Rightarrow$ $50\%$ of cost price = $\frac{50}{100}\times 30=\$15$

$\Rightarrow$ Selling price of appliance to make 50% profit = Cost price of appliance + 50% of cost price of appliance

$\Rightarrow$ $\$30+\$15=\$45$

$\therefore$ To make 50% of gross profit the cost of appliance should be $\$45$.