Question
The cost price of 20 earphones equals the selling price
of 16 earphones. The ratio of the cost price of an earphone to a pouch is 3:2. The sum of the selling prices of 8 earphones and 6 pouches is Rs.3000. Each pouch is sold at a 25% profit. Find the cost price of one earphone.Solution
ATQ,
20a = 16b → a/b = 4/5 CP = 4x SP = 5x CP pouch = 4x × 2/3 = 8x/3 SP pouch = 8x/3 × 125/100 = 10x/3 8×5x + 6×10x/3 = 40x + 20x = 60x = 3000 x = 3000/60 = 50 CP of one earphone = 4x = Rs.200
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