Question

a shopkeeper earns a profit of 15%on selling a book at 20% discount on the printed price what will be the ratio at the cost price and printed price​

Answer 1

Answer:

The ratio of cost price and printed price = 39 : 50

Step-by-step explanation;

Let the printed price is x Rs and cost price is y Rs

NOW

If

The shopkeeper sell at 20 percent discount of printed price then selling price is give as

Sell price = x - 20 % of x = x - 20x / 100 = 80x/100 = 80 percent of x

NOW

If the shopkeeper earns the 15 % profit at cost price then

cost price = y = 80x / 100 - 15(80x)/10000 = 80x / 100 - 12x/100 = 78x/100

             y  = 78 % of x  

NOW suppose that x = 100 that is printed price is 100 then

cost price = 78 % of 100 = 78

Selling price = 80 % of 100 = 80

And

Ratio in cost price and printed price = cost price : printed price

                                                            = 78 : 100 = 39 : 50

Thus the ratio of cost price and printed price = 39 : 50