The best questions to practice for XAT Exam are the actual XAT Question Papers. 2IIM offers you exactly that, in a student friendly format to take value from this. In XAT 2022 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 XAT Question paper is the best place to start off your XAT 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 1 : Sheela purchases two varieties of apples - A and B - for a total of Rupees 2800. The weights in kg of A and B purchased by Sheela are in the ratio 5 : 8 but the cost per kg of A is 20% more than that of B. Sheela sells A and B with profits of 15% and 10% respectively.
What is the overall profit in Rupees?
It is given that Sheela purchases two varieties of apples - A and B for a total of rupees 2800.
It is also given that the weights are in the ratio 5: 8
So let’s suppose that the weight of A and B are ‘5x’kgs and ‘8x’kgs respectively.
Given that, the cost per kg of A is 20% more than that of B.
So that, the costs are in the ratio of 6: 5
So let’s suppose that the cost per kg of A and B are ‘6y’ and ‘5y’ respectively.
The amount spent on A and B are 30xy and 40xy
We know that the amount spent is 2800.
Therefore 30xy + 40xy = 2800
70xy = 2800
xy = 40.
Hence A = 30(40) = 1200
B = 40(40) = 1600
Sheela sells A with a profit of 15%. So, the selling price of A is 1380
Sheela sells B with a profit of 10%. So, the selling price of B is 1760
Total selling price = 3140
Net Profit = 3140 - 2800 = 340
Choice D is the correct answer.
CAT® (Common Admission Test) is a registered trademark of the Indian Institutes of Management. This website is not endorsed or approved by IIMs.
2IIM Online CAT Coaching
A Fermat Education Initiative,
58/16, Indira Gandhi Street,
Kaveri Rangan Nagar, Saligramam, Chennai 600 093