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 2018 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 6 :Two types of tea A and B are mixed and then sold at Rs. 40 per kg. The profit is 10% if A and B are mixed in the ratio 3 : 2, and 5% if this ratio is 2 : 3. The cost prices per kg of A and B are in the ratio

- 21 : 25
- 19 : 24
- 18 : 25
- 17 : 25

Buy CAT'21 95-99 Booster Course for just

Valid until 19th Sep

Online Batches Available Now!

Let Tea A and B be sold at Rs.a and Rs.b respectively

When A and B are mixed in the ratio 3 : 2 and sold at a profit of 10% at Rs.40 per Kg

\\frac{3a + 2b}{5}) = \\frac{40}{1.1}) ------(1)

When A and B are mixed in the ratio 2 :
3 and sold at a profit of 5% at Rs.40 per Kg

\\frac{2a + 3b}{5}) = \\frac{40}{1.05}) ------(2)

Solving equations (1) and (2), we get

1.1 × (\\frac{3a + 2b}{5})) = 1.05 × (\\frac{2a + 3b}{5}))

\\frac{11}{10}) × (3a + 2b) = \\frac{21}{20}) × (2a + 3b)

66a + 44b = 42a + 63b

24a = 19b

\\frac{a}{b}) = \\frac{19}{24})

So, the cost prices per Kg of A and B are in the ratio **19 : 24**

The question is **"Two types of tea, A and B, are mixed and then sold at Rs. 40 per kg. The profit is 10% if A and B are mixed in the ratio 3 : 2, and 5% if this ratio is 2 : 3. The cost prices, per kg, of A and B are in the ratio" **

Choice B is the correct answer.

CAT 2021

Enroll at

44,000/-

Online Classroom Batches Starting Now!

Copyrights © All Rights Reserved by 2IIM.com - A Fermat Education Initiative.

Privacy Policy | Terms & Conditions

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

**Phone:** (91) 44 4505 8484

**Mobile:** (91) 99626 48484 / 94459 38484

**WhatsApp:** WhatsApp Now

**Email: **info@2iim.com