Question
The cost price of product ‘B’ is (400/9)% of the
selling price of product ‘A’. Product ‘A’ is sold at 35% profit, and the cost price of product ‘A’ is Rs. 18 more than that of product ‘B’. If the cost price of product ‘A’ is equal to the selling price of product ‘B’, find the cost price of product ‘B’.Solution
ATQ,
Let cost price of product ‘A’ = Rs. ‘x’ = selling price of product ‘B’
Selling price of product ‘A’ = 1.35 × x = Rs. ‘1.35x’
Cost price of product ‘B’ = (4/9) × 1.35x = Rs. ‘0.6x’
ATQ,
x = 0.6x + 18
Or, 0.4x = 18
Or, x = 45
So, cost price of product ‘B’ = 0.6x = 0.6 × 45 = Rs. 27
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