Question
The cost price of 27 headsets equals the selling price
of 18 headsets. The ratio of the cost price of a headset to a cover is 9:8. The total selling price of 9 headsets and 9 covers is Rs.2250. Each cover is sold at a 12.5% profit. Find the cost price of one headset.Solution
ATQ,
27a = 18b → a/b = 2/3 CP = 2x SP = 3x CP cover = 2x × 8/9 = 16x/9 SP cover = 16x/9 × 112.5/100 = 2x 9×3x + 9×2x = 27x + 18x = 45x = 2250 x = 2250/45 = 50 CP of one headset = 2x = Rs.100
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