Question
The cost price of 14 headphones equals the selling price
of 10.5 headphones. The ratio of the cost price of a headphone to a phone case is 7:6. The total selling price of 5 headphones and 7 phone cases is Rs.1880. Each phone case is sold at 50% profit. Find the cost price of one headphone.Solution
Let CP and SP be a and b. 14a = 10.5b → a/b = 3/4 CP = 3x SP = 4x CP case = 3x × 6/7 = 18x/7 SP case = 18x/7 × 150/100 = 27x/7 5×4x + 7×27x/7 = 20x + 27x = 47x = 1880 x = 1880/47 = 40 CP of one headphone = 3x = Rs.120
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