CAT 2017 Question Paper | Quants Slot 2

The best questions to practice for CAT Exam are the actual CAT Question Papers. 2IIM offers you exactly that, in a student friendly format to take value from this. If you would like to take the same inside a testing engine (for Free) head out here: CAT Official Question Mocks. In CAT 2017 we saw some beautiful questions that laid emphasis on Learning ideas from basics and being able to comprehend more than remembering gazillion formulae and shortcuts. Original CAT Question paper is the best place to start off your CAT prep practice. This page provides exactly that. To check out about 1000 CAT Level questions with detailed video solutions for free, go here: CAT Question Bank

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

Video Explanation

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