Question

A shopkeeper sells two items at a profit of 14.28 percentage by mistake he calculates the profit of second item on selling price if the numerical values of profit on both the items is same find the ratio of cost price of item 1&2A shopkeeper sells two items at a profit of 14.28 percentage by mistake he calculates the profit of second item on selling price if the numerical values of profit on both the items is same find the ratio of cost price of item 1&2

Answer 1

Given : A shopkeeper sells two items at a profit of 14.28 percentage by mistake he calculates the profit of second item on selling price if the numerical values of profit on both the items is same

To find : ratio of cost price of item 1&2

Solution:

Let say profit = P

CP of item1  = C1

Profit = (14.28/100)C1  =  C1/7

=> P = C1/7

=> C1 = 7P

SP of item2 = S2

Profit = (14.28/100)S2 = S2/7

P = S2/7

=> S2 = 7P

CP of item 2   C2  =  S2 - P

=7P - P

= 6P

C1/ C2  = 7P/6P

=> C1/ C2  = 7/6

the ratio of cost price of item 1&2 = 7 : 6

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