Question

A wholesaler bought $120$ watches for $\text{Rs}30$ each. He sold $50\%$ of the watches for $\text{Rs}20$ each, one-third at $\text{Rs}40$ each and the rest for $\text{Rs}60$. What was the wholesaler's approximate avenge profit per watch?

• A. $\text{Rs}3.3$
• B. $\text{Rs}5$
• C. $\text{Rs}7$
• D. $\text{Rs}9$
• E. $\text{Rs}11$

Answer 1

The correct option is A $\text{Rs}3.3$

C.P. of each watch $=\text{Rs}30$ , number of watches $=120$

total C.P. $=30\times 120=\text{Rs}3600$

Wholesaler sold $50\%$ ($60$ watches) at $\text{Rs}20$

S.P. of these $60$ watches $(S.P_1)=60\times 20=\text{Rs}1200=$

${\left(\frac{1}{3}\right)}^{rd}$ of $120$ watches are sold at $\text{Rs}40$

$S.P_2=40\times 40=\text{Rs}1600$

rest $(120-60-40=20)$ watches are sold at $\text{Rs}60$

$S.P_3=20\times 60=\text{Rs}1200$

Total S.P. $=1200+1600+1200=\text{Rs}4000$

profit $=$ S.P. $-$ C.P. $=4000-3600=\text{Rs}400$

Average profit per watch $=\frac{400}{120}=\text{Rs}3.3$