Multiple choice

Directions : Answer the questions on the basis of the information given below. Roger went to a supermarket to buy fruits. He has been forced with a constraint that he has to buy at least 15 each of oranges, apples, and guavas. Also the number of apples should be more than the number of oranges, and number of oranges should be more than the number of guavas. Roger buys a total of 50 fruits. Cost price per apple is Rs.4, per orange is Rs.2, and per guava is Rs.3. He sold off everything he bought at a profit of Rs.19. Find out his total selling price(in Rs.), if Roger buys 17 oranges.

  1. Rs.170

  2. Rs.150

  3. Rs.160

  4. Rs.140
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A Correct answer
Explanation

Total fruits = 50. Oranges = 17. Since oranges > guavas, guavas must be at least 15 (given) and less than 17. Let guavas = 16. Then apples = 50 - 17 - 16 = 17. Check constraints: apples(17) > oranges(17) is false. If guavas = 15, apples = 50 - 17 - 15 = 18. Constraints: 18 > 17 > 15 (True). Cost = (18*4) + (17*2) + (15*3) = 72 + 34 + 45 = 151. Profit = 19, so Selling Price = 151 + 19 = 170.

AI explanation

Since Roger buys 50 fruits total and 17 oranges, the remaining 33 fruits must be apples and guavas. Given the constraint that apples are greater than oranges (17) and oranges are greater than guavas, the number of apples is 18 and guavas is 15. The total cost price is calculated as (18 apples times 4) plus (17 oranges times 2) plus (15 guavas times 3), which equals 72 plus 34 plus 45, resulting in a total cost price of 151. Adding the profit of 19 to the cost price of 151 gives a total selling price of 170.

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