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:

Solution (By Examveda 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)