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Jugnu, a dishonest milk seller has certain quantity of milk to sell. Find the approximate ratio he should mix water to gain 5% by selling the mixture at the cost price?
- a)1 : 10
- b)1 : 5
- c)1 : 25
- d)1 : 20
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
Jugnu, a dishonest milk seller has certain quantity of milk to sell. F...
Let the cost price of 100 g milk was 100 units.
Let’s assume that x grams of milk are mixed with (100 – x) grams of water.
x + 5% of x = 100
⇒ x + 0.05x = 100
⇒ 1.05x = 100
⇒ x = 100/1.05 = 2000/21
Water = 100 – (2000/21) = 100/21
Ratio of water and Milk = 100/2000 = 1 : 20
Let’s assume that x grams of milk are mixed with (100 – x) grams of water.
x + 5% of x = 100
⇒ x + 0.05x = 100
⇒ 1.05x = 100
⇒ x = 100/1.05 = 2000/21
Water = 100 – (2000/21) = 100/21
Ratio of water and Milk = 100/2000 = 1 : 20
Most Upvoted Answer
Jugnu, a dishonest milk seller has certain quantity of milk to sell. F...
Problem Analysis:
Let's assume that Jugnu has x liters of milk. To gain a profit of 5% by selling the mixture at the cost price, Jugnu needs to mix water in such a way that the cost price of the mixture is the same as the cost price of the original milk.
Solution:
To solve this problem, we can use the concept of the cost price.
Step 1: Determine the initial cost price of the milk:
As the cost price of the milk is the same as the cost price of the mixture, we can assume the initial cost price of the milk to be 100.
Step 2: Determine the selling price of the mixture:
Since Jugnu wants to gain a profit of 5% by selling the mixture at the cost price, the selling price of the mixture will also be 100.
Step 3: Determine the cost price of the mixture:
As the selling price of the mixture is 100, and the profit is 5%, the cost price of the mixture can be calculated using the formula:
Cost Price = Selling Price / (1 + Profit %)
Cost Price = 100 / (1 + 5/100)
Cost Price = 100 / (1 + 0.05)
Cost Price = 100 / 1.05
Cost Price ≈ 95.238
Step 4: Determine the quantity of water to be mixed:
Let's assume that the quantity of water to be mixed is y liters.
The cost price of 1 liter of milk = 100 / x
The cost price of 1 liter of water = 0
The cost price of 1 liter of the mixture = 95.238 / (x + y)
To maintain the cost price, the ratio of milk to water should be equal to the ratio of their cost prices.
Therefore, (100 / x) : 0 = 95.238 / (x + y) : y
Simplifying the equation, we get:
100 / x = 95.238 / (x + y)
Cross-multiplying, we get:
100(x + y) = 95.238x
100x + 100y = 95.238x
100y = 95.238x - 100x
100y = -4.762x
y = (-4.762x) / 100
y = -0.04762x
This equation represents the ratio of milk to water.
Step 5: Approximating the ratio:
Given the options, we need to find the approximate ratio of milk to water.
The ratio y : x can be approximated to 1 : 20.
Therefore, the approximate ratio of milk to water is 1 : 20.
Hence, the correct answer is option D) 1 : 20.
Let's assume that Jugnu has x liters of milk. To gain a profit of 5% by selling the mixture at the cost price, Jugnu needs to mix water in such a way that the cost price of the mixture is the same as the cost price of the original milk.
Solution:
To solve this problem, we can use the concept of the cost price.
Step 1: Determine the initial cost price of the milk:
As the cost price of the milk is the same as the cost price of the mixture, we can assume the initial cost price of the milk to be 100.
Step 2: Determine the selling price of the mixture:
Since Jugnu wants to gain a profit of 5% by selling the mixture at the cost price, the selling price of the mixture will also be 100.
Step 3: Determine the cost price of the mixture:
As the selling price of the mixture is 100, and the profit is 5%, the cost price of the mixture can be calculated using the formula:
Cost Price = Selling Price / (1 + Profit %)
Cost Price = 100 / (1 + 5/100)
Cost Price = 100 / (1 + 0.05)
Cost Price = 100 / 1.05
Cost Price ≈ 95.238
Step 4: Determine the quantity of water to be mixed:
Let's assume that the quantity of water to be mixed is y liters.
The cost price of 1 liter of milk = 100 / x
The cost price of 1 liter of water = 0
The cost price of 1 liter of the mixture = 95.238 / (x + y)
To maintain the cost price, the ratio of milk to water should be equal to the ratio of their cost prices.
Therefore, (100 / x) : 0 = 95.238 / (x + y) : y
Simplifying the equation, we get:
100 / x = 95.238 / (x + y)
Cross-multiplying, we get:
100(x + y) = 95.238x
100x + 100y = 95.238x
100y = 95.238x - 100x
100y = -4.762x
y = (-4.762x) / 100
y = -0.04762x
This equation represents the ratio of milk to water.
Step 5: Approximating the ratio:
Given the options, we need to find the approximate ratio of milk to water.
The ratio y : x can be approximated to 1 : 20.
Therefore, the approximate ratio of milk to water is 1 : 20.
Hence, the correct answer is option D) 1 : 20.
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Jugnu, a dishonest milk seller has certain quantity of milk to sell. Find the approximate ratio he should mix water to gain 5% by selling the mixture at the cost price?a)1 : 10b)1 : 5c)1 : 25d)1 : 20Correct answer is option 'D'. Can you explain this answer?
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Jugnu, a dishonest milk seller has certain quantity of milk to sell. Find the approximate ratio he should mix water to gain 5% by selling the mixture at the cost price?a)1 : 10b)1 : 5c)1 : 25d)1 : 20Correct answer is option 'D'. Can you explain this answer? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about Jugnu, a dishonest milk seller has certain quantity of milk to sell. Find the approximate ratio he should mix water to gain 5% by selling the mixture at the cost price?a)1 : 10b)1 : 5c)1 : 25d)1 : 20Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Jugnu, a dishonest milk seller has certain quantity of milk to sell. Find the approximate ratio he should mix water to gain 5% by selling the mixture at the cost price?a)1 : 10b)1 : 5c)1 : 25d)1 : 20Correct answer is option 'D'. Can you explain this answer?.
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