Financial Gain!

Quantitative Finance Level 3

The difference between Marked Price & Selling Price is same as that of the difference between the Cost Price & Selling Price of an item. Find the Gain percentage, if discount of 50/3% is offered on them?


The answer is 25.

Ashwin K by ASHWIN K , 29, India

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1 solution

Ashwin K
Feb 8, 2016

Let Marked price = MP, Selling price = SP & Cost price = CP. 

Given, Discount Percentage = 50/3% = 50/300 = 1/6 = Discount/MP.
We know that, (MP - SP) = (SP - CP) .
i.e. 2SP = MP + CP.
SP = MP - Discount = 6 - 1 = 5.
So, 6 - 5 = 5 - 4
Thus, CP = 4.

* Gain % = 1/4*100 = 25 % *

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