### A shopkeeper wishes to give 5% commission on the marked price of an article but also wants to earn a profit of 10%. If his cost price is Rs. 95, then marked price is:

A. Rs. 100 B. Rs.110 C. Rs. 120 D. Rs. 130 Answer: Option B

### Solution(By Apex Team)

CP = Rs. 95. Then SP = 95 + 10% of 95 = Rs. 104.5 Let MP = X. He gives 5% commission on MP. So, SP = X – 5% of X SP = 0.95X 104.5 = 0.95X X = $\frac{104.5}{0.95}$ =100 Thus, MP = Rs. 110 Short-cut 95 == 10%(gain) ⇒ 104.5 == 5%(Commission) ⇒ 109.72 (= 110)