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A shopkeeper wishes to give 5 commission on the marked price...

This question belongs to Arithmetic Ability Profit And Loss
Profit and Loss
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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:

Answer & Solution
Correct Answer: Option B
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)
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1 Comment
Md Helal
Md Helal 8 years ago
95% of MP = 110% of 95
⇒MP = 110 (Ans.)
Solved by : MD.Helal Uddin
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