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A trader purchased two colour televisions for a total of Rs. 35000. He sold one colour television at 30% profit and the other 40% profit. Find the difference in the cost prices of the two televisions if he made an overall profit of 32%?

Correct answer: A. Rs. 21000

  • A. Rs. 21000
  • B. Rs. 17500
  • C. Rs. 19000
  • D. Rs. 24500

Explanation

Let the cost prices be x rupees and y rupees, so x + y = 35000 rupees. The total profit is 32% of 35000 rupees = 11200 rupees, giving 0.30x + 0.40y = 11200; subtracting 0.30(x + y) = 10500 gives 0.10y = 700, so y = 7000 rupees and x = 28000 rupees. The difference is 28000 - 7000 = 21000 rupees. A student may choose 17500 rupees by incorrectly treating the two televisions as having equal cost prices.

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Profit and loss compare the cost price and selling price of an item, using profit or loss percentages based on the cost price unless stated otherwise. Questions include marked price, discount, successive discounts, commission, and finding an unknown price, with care needed to distinguish discount from loss.

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