###
**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**

## Show Answer

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)## Related Questions on Profit and Loss

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