101 Views

Question : Mixture A contains chocolate and milk in the ratio 4 : 3 and mixture B contains chocolate and milk in the ratio 5 : 2. A and B are taken in the ratio 5 : 6 and mixed to form a new mixture. The percentage of chocolate in the new mixture is closest to:

Option 1: 35%

Option 2: 69%

Option 3: 31%

Option 4: 65%


Team Careers360 9th Jan, 2024
Answer (1)
Team Careers360 10th Jan, 2024

Correct Answer: 65%


Solution : The ratio of chocolate to milk in mixture A = 4 : 3 
The ratio of chocolate to milk in mixture B = 5 : 2
Let 5 units taken from mixture A and 6 units taken from mixture B.
The ratio of chocolate to milk in new mixture = $(5\times \frac{4}{7} + 6\times \frac{5}{7}):(5\times \frac{3}{7} + 6\times \frac{2}{7})$ = 50 : 27
Percentage of chocolate in new mixture = $\frac{\text{chocolate}}{\text{chocolate + milk}} \times 100$
= $\frac{50}{(50 + 27)} \times 100$
= 64.93%
= 65% (approx)
Hence, the correct answer is 65%.

SSC CGL Complete Guide

Candidates can download this ebook to know all about SSC CGL.

Download EBook

Know More About

Related Questions

Amity Online MBA
Apply
Apply for an Online MBA from Amity Online.
Manipal Online M.Com Admissions
Apply
Apply for Online M.Com from Manipal University
View All Application Forms

Download the Careers360 App on your Android phone

Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile

150M+ Students
30,000+ Colleges
500+ Exams
1500+ E-books