Question

Pia is a sales representative for a printer company. She sells two models of printers - Model P and Model Q.
Last month she sold a total of $120$ printers
The ratio of Model P printers sold to Model Q printers sold was $3:5$.
If Pia is paid a $Rs.25$ commission for every Model P printer sold and a $Rs.20$ commission for every Model Q printer sold, what was her total commission last month?

• A. $Rs.1480$
• B. $Rs.2475$
• C. $Rs.2625$
• D. $Rs.2760$

Answer 1

The correct option is C $Rs.2625$

Number of P printers sold = $P$

Number of Q printers sold = $Q$

Commission for each P printer sold = $Rs.25$

Commission for each Q Printer sold = $Rs.20$

Given that $\frac{P}{Q}=\frac{3}{5}$

so we can assume that $P=3x,Q=5x$

Total printers sold $=P+Q=120$

$\Rightarrow 8x=120,x=15$

Total money earned $=\left(25\right)\left(3\right)\left(15\right)+\left(20\right)\left(5\right)\left(15\right)=1125+1500=2625$