Use app×
Join Bloom Tuition
One on One Online Tuition
JEE MAIN 2025 Foundation Course
NEET 2025 Foundation Course
CLASS 12 FOUNDATION COURSE
CLASS 10 FOUNDATION COURSE
CLASS 9 FOUNDATION COURSE
CLASS 8 FOUNDATION COURSE
0 votes
339 views
in Aptitude by (115k points)
Two types of milk, A and B, are mixed and then sold at Rs.60 per liter. The profit is 15% if A and B are mixed in the ratio 3 : 1, and 20% if this ratio is 1 : 3. The cost prices, per kg, of A and B are in the ratio
1. 23 : 17
2. 43 : 41
3. 49 : 45
4. 51 : 57

1 Answer

0 votes
by (114k points)
selected by
 
Best answer
Correct Answer - Option 3 : 49 : 45

Given:

A and B are sold at Rs.60 per liter.

15% profit if sold in ratio A : B = 3 : 1

20% profit if sold at ratio A : B = 1 : 3

Calculation:

When A and B are mixed in the ratio 3 : 1,

then profit is 15% 

⇒ CP = (3A + B)/(3 + 1) 

⇒ 60/1.15 = (3A + B)/4

⇒ 240/1.15 = (3A + B)

⇒ 3A + B = 4800/23      ----(I)

When A and B are mixed in the ratio 1 : 3

then profit is 20%

⇒ CP = (A + 3B)/(3 + 1) 

⇒  60/1.2 = (A + 3B)/4

⇒ 240/1.2 = (A + 3B)

⇒ A + 3B = 200      ----(II)

Adding equation I and II,

⇒ 3A + B + A + 3B = 4800/23 + 200 

⇒ 4A + 4B = 9400/23

⇒ 4(A + B) = 9400/23

⇒ A + B = 2350/23      ----(III)

Subtracting equation I and II,

⇒ 3A + B – A – 3B =  4800/23 – 200

⇒ 2(A – B) = 200/23

⇒ A – B = 100/23      ----(IV)

Adding equation III and IV

⇒  A + B + A – B = 2350/23 + 100/23

⇒ 2A = 2450/23

⇒ A = 1225/23

Subtracting equation III and IV

⇒  A + B – A + B = 2350/23 – 100/23

⇒ 2B = 2250/23

⇒ B = 1125/23

Now the ratio of A and B,

⇒ A : B = 1225/23 : 1125/23 

⇒ A : B = 1225 : 1125

⇒ A : B = 49 : 45

∴ The ratio of CP of A and B is 49 : 45.

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

Categories

...