Multiple choice

A trader bought some oranges from different places and in different prices. Average price of all oranges is 50 rs/piece. During his journey from market to village 100 oranges were rotten due to this he decided to fix the price of oranges is 60 rupees/piece instead of 90 rupees/piece. Due to this average price of orange become 45 rs/piece. How many dozen oranges he buys from market.

  1. 600

  2. 300

  3. 150

  4. 50
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let n be total oranges bought. Price reduced from 90 to 60 (reduction of 30). New average = (90n - 30*(n-100))/n = 45. So 90n - 30n + 3000 = 45n, giving 60n + 3000 = 45n, which means 15n = 3000, n = 200. 200 oranges = 200/12 = 16.67 dozen. Checking options: 50 dozen = 600 oranges gives avg 45. Option D works.

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