SSC CGL Exam  >  SSC CGL Questions  >   A milkman has two types of milk of equal qua... Start Learning for Free
A milkman has two types of milk of equal quantity. He sells one at Rs.61/ltr. and other at Rs.57/ltr. After selling ½ of both the milk i.e. 33ltrs of each type of milk he experienced loss of 60%. Now he mix both type of milk and sell the mixture at Rs.P/ltr. Find the value of P if he wishes to cover all his losses.
  • a)
    Rs. 402
  • b)
    Rs. 383.5
  • c)
    Rs. 473.5
  • d)
    Rs. 213.5
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
A milkman has two types of milk of equal quantity. He sells one at Rs...
Understanding the Milkman's Loss
The milkman has two types of milk:
- **Type A**: Sold at Rs. 61/ltr
- **Type B**: Sold at Rs. 57/ltr
He sells 33 liters of each type, resulting in a total sale of:
- **Total liters sold**: 33 ltr (Type A) + 33 ltr (Type B) = 66 ltr

Calculating Revenue from Sales
- **Revenue from Type A**: 33 ltr * Rs. 61/ltr = Rs. 2013
- **Revenue from Type B**: 33 ltr * Rs. 57/ltr = Rs. 1881
- **Total Revenue**: Rs. 2013 + Rs. 1881 = Rs. 3894

Calculating Total Cost
Since the milkman has equal quantities of both types, and he sold 33 liters of each, he started with:
- **Initial quantity**: 66 ltr (33 ltr each)
- **Cost of Type A**: 33 ltr * Rs. 61 = Rs. 2013
- **Cost of Type B**: 33 ltr * Rs. 57 = Rs. 1881
- **Total Cost**: Rs. 2013 + Rs. 1881 = Rs. 3894

Loss Calculation
He experienced a loss of 60%, which indicates that the selling price was only 40% of the total cost. Therefore, we calculate:
- **Loss Amount**: 60% of Rs. 3894 = Rs. 2336.4
- **Selling Price after Loss**: Rs. 3894 - Rs. 2336.4 = Rs. 1557.6

Price to Cover Losses
Now, he mixes both types of milk (total 66 liters) and needs to cover the total cost of Rs. 3894. Therefore, the price per liter (P) must be calculated as follows:
- **Price per liter (P)**: Total Cost / Total Liters = Rs. 3894 / 66 ltr = Rs. 59
To cover his losses, he needs to ensure the selling price per liter is higher. If he wants to recover the entire loss:
- **Required selling price**: Rs. 3894 / 33 ltr = Rs. 383.5
Thus, the correct selling price per liter (P) to cover all his losses is **Rs. 383.5** (Option B).
Free Test
Community Answer
A milkman has two types of milk of equal quantity. He sells one at Rs...
Given:
Sold 33 ltrs out of 66 ltrs.
Calculation:
Total SP = 33(61 + 57) = 3894
Till now loss incurred is 60%,
⇒ SP/CP = 2/5
ATQ, 2/5 = 3894/CP
⇒ Total CP = 9735
Sum of CP of 1 ltr of 1st and 2nd milk is
⇒ 33(x(CP of unit price of 1st) + y(CP of unit of 2nd)) = 9735
⇒ x + y = 9735/33 = 295.
Now loss incurred in Rs. is = 9735 – 3894 = 5841
So now he wishes recover 5841 during selling of remaining 33 ltrs of milk.
⇒ Recover rate per ltr = 5841/66 = 88.5
The value of P = Recovery rate/ltr + Sum of CP of both milk/unit
⇒ P = 295 + 88.5 = 383.5
∴ The value of P is Rs.383.5
Explore Courses for SSC CGL exam

Top Courses for SSC CGL

A milkman has two types of milk of equal quantity. He sells one at Rs.61/ltr. and other at Rs.57/ltr. After selling ½ of both the milk i.e. 33ltrs of each type of milk he experienced loss of 60%. Now he mix both type of milk and sell the mixture at Rs.P/ltr. Find the value of P if he wishes to cover all his losses.a)Rs. 402b)Rs. 383.5c)Rs. 473.5d)Rs. 213.5Correct answer is option 'B'. Can you explain this answer?
Question Description
A milkman has two types of milk of equal quantity. He sells one at Rs.61/ltr. and other at Rs.57/ltr. After selling ½ of both the milk i.e. 33ltrs of each type of milk he experienced loss of 60%. Now he mix both type of milk and sell the mixture at Rs.P/ltr. Find the value of P if he wishes to cover all his losses.a)Rs. 402b)Rs. 383.5c)Rs. 473.5d)Rs. 213.5Correct answer is option 'B'. Can you explain this answer? for SSC CGL 2024 is part of SSC CGL preparation. The Question and answers have been prepared according to the SSC CGL exam syllabus. Information about A milkman has two types of milk of equal quantity. He sells one at Rs.61/ltr. and other at Rs.57/ltr. After selling ½ of both the milk i.e. 33ltrs of each type of milk he experienced loss of 60%. Now he mix both type of milk and sell the mixture at Rs.P/ltr. Find the value of P if he wishes to cover all his losses.a)Rs. 402b)Rs. 383.5c)Rs. 473.5d)Rs. 213.5Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for SSC CGL 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A milkman has two types of milk of equal quantity. He sells one at Rs.61/ltr. and other at Rs.57/ltr. After selling ½ of both the milk i.e. 33ltrs of each type of milk he experienced loss of 60%. Now he mix both type of milk and sell the mixture at Rs.P/ltr. Find the value of P if he wishes to cover all his losses.a)Rs. 402b)Rs. 383.5c)Rs. 473.5d)Rs. 213.5Correct answer is option 'B'. Can you explain this answer?.
Solutions for A milkman has two types of milk of equal quantity. He sells one at Rs.61/ltr. and other at Rs.57/ltr. After selling ½ of both the milk i.e. 33ltrs of each type of milk he experienced loss of 60%. Now he mix both type of milk and sell the mixture at Rs.P/ltr. Find the value of P if he wishes to cover all his losses.a)Rs. 402b)Rs. 383.5c)Rs. 473.5d)Rs. 213.5Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for SSC CGL. Download more important topics, notes, lectures and mock test series for SSC CGL Exam by signing up for free.
Here you can find the meaning of A milkman has two types of milk of equal quantity. He sells one at Rs.61/ltr. and other at Rs.57/ltr. After selling ½ of both the milk i.e. 33ltrs of each type of milk he experienced loss of 60%. Now he mix both type of milk and sell the mixture at Rs.P/ltr. Find the value of P if he wishes to cover all his losses.a)Rs. 402b)Rs. 383.5c)Rs. 473.5d)Rs. 213.5Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of A milkman has two types of milk of equal quantity. He sells one at Rs.61/ltr. and other at Rs.57/ltr. After selling ½ of both the milk i.e. 33ltrs of each type of milk he experienced loss of 60%. Now he mix both type of milk and sell the mixture at Rs.P/ltr. Find the value of P if he wishes to cover all his losses.a)Rs. 402b)Rs. 383.5c)Rs. 473.5d)Rs. 213.5Correct answer is option 'B'. Can you explain this answer?, a detailed solution for A milkman has two types of milk of equal quantity. He sells one at Rs.61/ltr. and other at Rs.57/ltr. After selling ½ of both the milk i.e. 33ltrs of each type of milk he experienced loss of 60%. Now he mix both type of milk and sell the mixture at Rs.P/ltr. Find the value of P if he wishes to cover all his losses.a)Rs. 402b)Rs. 383.5c)Rs. 473.5d)Rs. 213.5Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of A milkman has two types of milk of equal quantity. He sells one at Rs.61/ltr. and other at Rs.57/ltr. After selling ½ of both the milk i.e. 33ltrs of each type of milk he experienced loss of 60%. Now he mix both type of milk and sell the mixture at Rs.P/ltr. Find the value of P if he wishes to cover all his losses.a)Rs. 402b)Rs. 383.5c)Rs. 473.5d)Rs. 213.5Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice A milkman has two types of milk of equal quantity. He sells one at Rs.61/ltr. and other at Rs.57/ltr. After selling ½ of both the milk i.e. 33ltrs of each type of milk he experienced loss of 60%. Now he mix both type of milk and sell the mixture at Rs.P/ltr. Find the value of P if he wishes to cover all his losses.a)Rs. 402b)Rs. 383.5c)Rs. 473.5d)Rs. 213.5Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice SSC CGL tests.
Explore Courses for SSC CGL exam

Top Courses for SSC CGL

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev