Multiple choice

A man bought at the cost of $5$ plums a rupee and $2$ oranges a rupee. He sells $10$ plums and $6$ oranges at the selling price of $4$ plums a rupee and $3$ oranges a rupee. What is his gain or loss?

  1. Gain $50$ paise
  2. Loss $50$ paise
  3. Gain $30$ paise
  4. Loss $30$ paise
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

CP: 5 plums = 1 rupee (0.2 each), 2 oranges = 1 rupee (0.5 each). Total CP for 10 plums and 6 oranges = 10(0.2) + 6(0.5) = 2 + 3 = 5 rupees. SP: 4 plums = 1 rupee (0.25 each), 3 oranges = 1 rupee (0.333 each). Total SP for 10 plums and 6 oranges = 10(0.25) + 6(0.333) = 2.5 + 2 = 4.5 rupees. Loss = 5 - 4.5 = 0.5 rupees = 50 paise.

AI explanation

The total cost price for 10 plums (bought at 5 a rupee) and 6 oranges (bought at 2 a rupee) is (10/5) + (6/2) = 2 + 3 = 5 rupees. The total selling price for 10 plums (sold at 4 a rupee) and 6 oranges (sold at 3 a rupee) is (10/4) + (6/3) = 2.5 + 2 = 4.5 rupees. The difference between the cost price and the selling price is 5 - 4.5 = 0.5 rupees. This results in a loss of 50 paise.

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