Question

The cost price of a printer is Rs 3500, which is 15% below the marked price. If the article is sold at a discount of 10%, find(i) the marked price, (ii) the selling price, (iii) the profit and (iv) the profit percentage.

Answer 1

Given,
The cost of printer = Rs. 3500
Discount = 10%

To find,
The marked price of price of the printer
The selling price of the printer
The profit gained
The profit percentage

Solution,
(i)
Let the Marked price of the printer be x
Then,
The Marked price of the printer =
x-15x/100 = 3500
(100x-15x)/100 = 3500
85x/100 = 3500
17x/20 = 3500
x = (3500*20)/17
x = 70000/17
x = 4117.64

(ii)
Discount given on Marked price = 10%
Selling Price = 4117.64-(10/100*4117.64)
                       = 4117.64-411.764
                       = 3705.876
Selling Price = Rs. 3705.876

(iii)
Profit = Selling Price-Cost Price
Profit = 3705.876-3500
Profit = 205.876
Profit = Rs. 205.876

(iv)
Profit% = Profit/Cost Price
Profit% = 205.876/3500
Profit% = 0.058%