Question

The marked price of an article is Rs. 300. If the selling price is 50% more than the amount of discount allowed, find the selling price.
A. Rs.200
B. Rs. 180
C. Rs. 150
D. None of these

Answer 1

Hint: Marked price is also called labelled price. Let the discount be ‘d’ which gives the selling price as $ d + 50\% of \, d $. Substitute the values of Selling Price, Marked price and discount in the below formula to find the value of d. Using this obtained d, find the selling price.

Formula used:
 $ SP = MP - D $ , where SP is the selling price, MP is the marked price and D is the discount

Complete step by step solution:
We are given that the marked price of an article is Rs. 300 and the selling price is 50% more than the amount of discount allowed.
We have to find the selling price.
Let the discount allowed be d.
Then the selling price is $ SP = d + 50\% of \, d = d + \dfrac{{50}}{{100}}d = d + 0.5d = 1.5d $
Selling price is equal to marked price minus discount price.
This gives, $ SP = MP - D $
 $ \Rightarrow 1.5d = 300 - d $
 $ \Rightarrow 1.5d + d = 300 $
 $ \Rightarrow 2.5d = 300 $
 $ \Rightarrow d = \dfrac{{300}}{{2.5}} = Rs.120 $
Therefore, the discount price is Rs. 120.
Selling price is equal to $ MP - D = 300 - 120 = Rs.180 $ .
So, the correct answer is “Option B”.

Note: The actual selling price is equal to marked price minus discount price, when there is any discount. If there is no discount then the marked price is the actual selling price. The price of an item will be reduced after bargaining, price before bargaining is marked price and price after bargaining is selling price (bargaining can also be considered as discount here). If there is no bargaining allowed and the object is at a fixed price, then the marked price is the same as selling price.