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 ?
Given that Mayank buys some candies for Rs.15 a dozen and equal number of different candies for Rs.12 a dozen.
Let us assume that there are n dozens,
Cost price of the candies = 15n + 12n = 27n
In total he buys 2n dozens of candies.
A dozen is sold at Rs.16.50
Selling price of candies = 2n × 16.50 = 33n
Profit = Selling price - Cost Price
Profit = 33n - 27n = 6n = 150
n = 150/6 = 25
Therefore the no. of candies Mayank bought altogether is 2n = 2 × 25 = 50 dozens