Question
A and B are two products such that a 25% profit on A is
equal to a 16.67% loss on B. A is marked 100% above its cost price and the marked price of B is ___ % of the marked price of A. A and B are sold at a discount of ___% and ___%, respectively, such that the selling price of A and B are the same.Which of the following can fill the blanks in the same order?(i) 125, 20, 36(ii) 200, 30, 65(iii) 150, 25, 50Solution
25% of A = 16.67% of B
A : B = 2 : 3
Let the cost price of A and 40x be 60 x respectively,
Marked price of A = 80x
From (i)
Marked price of B = 125% of 80x = 100x
Selling price of A = (100 - 20)% of 80 = 64x
Selling price of B = (100 - 36)% of 100x = 64x
From (ii)
Marked price of B = 200% of 80x = 160x
Selling price of A = (100 - 30)% of 80x = 56x
Selling price of B = (100 - 65)% of 160x = 56x
From (iii)
Marked price of B = 150% of 80x = 120x
Selling price of A = (100 - 25)% of 80x = 60x
Selling price of B = (100 - 50)% of 120x = 60x
All of them satisfy.
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