Multiple choice

Manu bought a certain number of oranges at a cost of 5 per rupee and an equal number at a cost of 8 per rupee. At what price per dozen should he sell them together to make an approximate profit of 20%?

  1. Rs. 2.34

  2. Rs. 2.45

  3. Rs. 2.50

  4. Rs. 3.00
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

CP of 1 orange = 1/5 + 1/8 = 13/40 per 2 oranges. CP per orange = 13/80. CP per dozen = 12 * 13/80 = 1.95. Selling price for 20% profit = 1.95 * 1.2 = 2.34.

AI explanation

Assume Manu buys 40 oranges of each type, so he spends Rs 8 on the first type at 5 per rupee and Rs 5 on the second type at 8 per rupee. The total cost price for 80 oranges is Rs 13, making the cost price per orange Rs 13/80. To make a 20% profit, the selling price per orange becomes 1.2 times 13/80, which is Rs 0.195. For a dozen, this price is 12 times 0.195, equaling approximately Rs 2.34.

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