Question 43: Mayank buys some candies for Rs 15 a dozen and an equal number of different candies for Rs 12 a dozen. He sells all for Rs 16.50 a dozen and makes a profit of Rs 150. How many dozens of candies did he buy altogether?
50
30
25
45
Option: 1 Explanation:
Let the number of dozens of candies he bought of each variety be x Hence total cost = 12x + 15x = 27x Total selling price = 16.50×2x = 33x Profit = 33x - 27x = 6x Given 6x = 150 => x = 25 Hence he bought 50 dozens of candies in total