# CAT 2017 Question Paper | Quants Slot 2

###### CAT Previous Year Paper | CAT Profit and Loss Questions | Question 9

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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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##### 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 ###### Best CAT Online Coaching Try upto 40 hours for free Learn from the best! ###### Prepare for CAT 2024 with 2IIM's Daily Preparation Schedule ###### Know all about CAT Exam Syllabus and what to expect in CAT ###### Already have an Account? ###### CAT Coaching in ChennaiCAT 2024 Classroom Batches Starting Now! @Gopalapuram ###### Best CAT Coaching in Chennai Introductory offer of 5000/- Attend a Demo Class ###### Best Indore IPM & Rohtak IPM CoachingSignup and sample 9 full classes for free. Register now! ##### Where is 2IIM located? 2IIM Online CAT Coaching A Fermat Education Initiative, 58/16, Indira Gandhi Street, Kaveri Rangan Nagar, Saligramam, Chennai 600 093 ##### How to reach 2IIM? Mobile:$91) 99626 48484 / 94459 38484
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