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Ram purchased 3 oranges at Rs. 20 each and 5 mangoes at Rs. 38 each and then sold them by offering discounts of 25% and 20% on the fixed marked prices of oranges and mangoes, respectively. If he…

Question and options

Ram purchased 3 oranges at Rs. 20 each and 5 mangoes at Rs. 38 each and then sold them by offering discounts of 25% and 20% on the fixed marked prices of oranges and mangoes, respectively. If he earned a profit of 50% on selling the oranges alone, and a total profit of 32% on selling all the fruits, then the marked price of each mango was __________
  1. 75
  2. 64
  3. 60
  4. 48

Answer and explanation

Correct answer: C - 60

Each mango was marked at 6060 rupees. The fruits cost 3⋅20+5⋅38=2503\cdot20+5\cdot38=250 rupees, so the total selling price was 250⋅1.32=330250\cdot1.32=330 rupees. The oranges sold for 60⋅1.5=9060\cdot1.5=90 rupees altogether, leaving 240240 rupees for five mangoes. The value 4848 is the selling price of one mango, and dividing it by 0.800.80 gives its marked price.

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