Question

A dealer originally bought 100 identical batteries at a total cost of q dollars. If each battery was sold at 50 percent above the original cost per battery, then in terms of q, for how many dollars was each battery sold?

• A. $\frac{3q}{200}$
• B. $\frac{3q}{2}$
• C. $150q$
• D. $\frac{q}{100}+50$
• E. $\frac{150}{q}$

Answer 1

The correct option is A $\frac{3q}{200}$

The cost price of 100 the identical battery is $q$ Dollars

Therefore, each battery cost price $=\frac{q}{100}$ Dollars
According to question,

Selling price of each battery $=\frac{q}{100}+50$% of $\frac{q}{100}$

$=\frac{q}{100}+\frac{50}{100}\times \frac{q}{100}$
$=\frac{q}{100}+\frac{q}{200}$
$=\frac{2q+q}{200}$
$=\frac{3q}{200}$

Thus, selling price of each identical battery would be $\frac{3q}{200}$.