Quantitative Aptitude – Arithmetic – Profit and Loss – Two types of tea, A and B, are mixed

Quantitative Aptitude – Arithmetic - Mixtures – Two types of tea, A and B, are mixed

Slot -1 – Quantitative Aptitude – Arithmetic – Profit and Loss – Two types of tea, A and B, are mixed

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?

a) 19:24
b) 18:25
c) 21:25
d) 17:25

Solution:

When A and B are mixed in the ratio 3:2, CP = (3A+2B)/(5 )=40/1.1

3A +2B = 2000/11 ——-1)

When A and B are mixed in the ratio 2:3, CP = (2A+3B)/(5 )=40/1.05

2A +3B = 20000/105 = 4000/21 ———–2)

By solving eq 1) & 2)

A = 7600/21*11 and B = 9600/21*11

Thus A:B = 19:24

Option a) 19:24 is correct.

Other posts related to Quantitative Aptitude – Modern Maths

Permutation and Combination – Fundamental Principle of Counting
Permutation and Combination – Distribution of Objects
How to find Rank of a Word in Dictionary (With or Without Repetition)
Set Theory- Maximum and Minimum Values
How to solve questions based on At least n in Set Theory for CAT Exam?
Sequence and Series Problems and Concepts for CAT 2017 Exam Preparation
Basic Probability Concepts for CAT Preparation

Online Coaching Course for CAT Exam Preparation

a) 750+ Videos covering entire CAT syllabus
b) 2 Live Classes (online) every week for doubt clarification
c) Study Material & PDFs for practice and understanding
d) 10 Mock Tests in the latest pattern
e) Previous Year Questions solved on video

Know More about Online CAT Course

Leave a Reply

Your email address will not be published. Required fields are marked *