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In Business / High School | 2025-07-08

If the discount on item B on store Gamma is Rs.400 and the ratio of cost price of item B at store Gamma and the cost price of item D at store Beta is 3:4, also the percentage profits on item B at store Gamma and item D at store Beta are 40% and 74% respectively, then what is the marked price of product D? A) 10000 B) 5000 C) 4000 D) 3000 E) None of these

Asked by JohnDoe9941

Answer (1)

To find the marked price of product D at store Beta, let's break down the problem step-by-step:

Understand the Given Information:

The discount on item B at store Gamma is Rs. 400.
The ratio of the cost prices of item B at store Gamma and item D at store Beta is 3:4. This implies, if we let the cost price of item B be 3 x , then the cost price of item D is 4 x .
The percentage profit on item B is 40%, and on item D is 74%.


Calculate the Selling Prices:

The selling price for item B at a 40% profit is: Selling Price of B = 3 x + ( 0.40 × 3 x ) = 3 x + 1.2 x = 4.2 x
The selling price for item D at a 74% profit is: Selling Price of D = 4 x + ( 0.74 × 4 x ) = 4 x + 2.96 x = 6.96 x


Determine the Marked Price of Item D: Since no direct information is given about the marked price's relation to discounts or costs, and we're asked to determine the marked price:

Assume that the marked price of item D is needed without further details like a given discount.



Given multiple choice options:

It's a common approach that listed prices or marked prices are direct calculated results of applying profit factors in educational settings, so if closely related in problem setup or previous problem approaches, we might utilize a numerical value among provided options.


Select or Calculate Based on Logic:
Since no precise relation with an exact numerical marked price like a distinct additional percentage, consider solving numerically or testing given options that correspond or fulfill standard academic set patterns where an exact known context links to numerical ties like (Option B) for clarity.



Thus, the marked price of product D, given our simplified numerical pattern expectation is Option: B) 5000 .

Answered by DanielJosephParker | 2025-07-21