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Question 9 : 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 ?

1. 50
2. 30
3. 25
4. 45

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Video Explanation

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Explanatory Answer

Method of solving this CAT Question from Profit and Loss

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 = \\frac{150}{6}) = 25
Therefore the no. of candies Mayank bought altogether is 2n = 2 × 25 = 50 dozens

The question is "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 ?"

Hence, the answer is 50

Choice A is the correct answer