Given, the cost price of an article = Rs. 600
Also, the gain percentage = 20%
And discount allowed = 10%
We need to find out the marked price of the article.
⇒ Now, we know that gain
= [gain%] x Cost price/100
Gain = [20 x 600]/100
= Rs. 120
⇒Now, we know that Selling Price = Gain + Cost Price
∴ SP = 120 + 600
= Rs. 720
Let marked price = Rs.x
Since, a discount of 10% is allowed.
⇒ x-10% of x = Rs. 720
Hence, the markets price on the article is Rs 800
Home
Question 1 0 2 What price should a shopkeeper mark on an article that costs him Rs. 600 to gain 20 %, after allowing a discount of 10 % ?
Open in App
Solution
The cost price of the article
=Rs.600
Gain
%=20% of CP
∴Gain=20×600100=Rs.
120
∵SP=Gain+CP=Rs.
600+Rs.
120=Rs.720
Let marked price be
Rs.x.
Since, he allow a discount of
10%.
According to the question,
x−10%of
x=Rs.720
⇒x−10×x100=720
⇒100x−10x100=720
⇒90x100=720
⇒x=720×10090
⇒x=Rs.800
Hence, required marked price is Rs.
800.
Suggest Corrections
5
Similar questions
Q.
To gain 25% after allowing a discount of 10%, the shopkeeper must mark the price of the article which cost him Rs. 360 as
[a] Rs 500
[b] Rs 450
[c] Rs 460
[d] Rs 486
Q. A shopkeeper sells his goods at 10% discount on the marked price. What price should be marked on an article that costs him Rs. 900 to gain
10%?
Q.
To gain 25% after allowing a discount of 10%, the shopkeeper must mark the price of the article which costs him ₹360 as: