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A shopkeeper mixed two type of tea powders, type 1 and type 2, in the ratio 1:2 and sold the mixture at 20/- per kg. Find the profit percentage, if the cost price of type 1 and type 2 powders are 12/- and 18/- per kg respectively ?
- a)15%
- b)20%
- c)25%
- d)30%
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
A shopkeeper mixed two type of tea powders, type 1 and type 2, in the ...
Let the quantity of Type 1 = k and that of Type 2 = 2k
Let x be the cost price of the mixture,
k(12)+2k(18) = (2k+k)(x)
12k+36k = 3kx
48k = 3kx
16 = x
CP = 16/- and SP = 20/-
Profit = SP - CP = 20 - 16 = 4/-
Profit % = \frac{4}{16}\times 100 = 25164×100=25%
So the answer is option C.
Most Upvoted Answer
A shopkeeper mixed two type of tea powders, type 1 and type 2, in the ...
Understanding the Tea Mixture
To determine the profit percentage, we first analyze the quantities and costs involved in the mixture of tea powders.
Step 1: Ratio of Mixture
- The shopkeeper mixes tea powders in a ratio of 1:2.
- Let’s assume he mixes 1 kg of type 1 and 2 kg of type 2.
Step 2: Cost Calculation
- Cost of Type 1 Tea:
- Cost per kg = 12/-
- For 1 kg: 1 * 12 = 12/-
- Cost of Type 2 Tea:
- Cost per kg = 18/-
- For 2 kg: 2 * 18 = 36/-
- Total Cost of Mixture:
- Total Cost = Cost of Type 1 + Cost of Type 2
- Total Cost = 12 + 36 = 48/-
Step 3: Selling Price
- The selling price of the mixture is 20/- per kg.
- Total weight of the mixture = 1 kg + 2 kg = 3 kg.
- Total Selling Price:
- Selling Price = 3 kg * 20/- = 60/-
Step 4: Profit Calculation
- Profit:
- Profit = Total Selling Price - Total Cost
- Profit = 60 - 48 = 12/-
Step 5: Profit Percentage
- Profit Percentage:
- Profit Percentage = (Profit / Total Cost) * 100
- Profit Percentage = (12 / 48) * 100 = 25%.
Thus, the profit percentage from the sale of the tea mixture is 25%, confirming that option 'C' is correct.
To determine the profit percentage, we first analyze the quantities and costs involved in the mixture of tea powders.
Step 1: Ratio of Mixture
- The shopkeeper mixes tea powders in a ratio of 1:2.
- Let’s assume he mixes 1 kg of type 1 and 2 kg of type 2.
Step 2: Cost Calculation
- Cost of Type 1 Tea:
- Cost per kg = 12/-
- For 1 kg: 1 * 12 = 12/-
- Cost of Type 2 Tea:
- Cost per kg = 18/-
- For 2 kg: 2 * 18 = 36/-
- Total Cost of Mixture:
- Total Cost = Cost of Type 1 + Cost of Type 2
- Total Cost = 12 + 36 = 48/-
Step 3: Selling Price
- The selling price of the mixture is 20/- per kg.
- Total weight of the mixture = 1 kg + 2 kg = 3 kg.
- Total Selling Price:
- Selling Price = 3 kg * 20/- = 60/-
Step 4: Profit Calculation
- Profit:
- Profit = Total Selling Price - Total Cost
- Profit = 60 - 48 = 12/-
Step 5: Profit Percentage
- Profit Percentage:
- Profit Percentage = (Profit / Total Cost) * 100
- Profit Percentage = (12 / 48) * 100 = 25%.
Thus, the profit percentage from the sale of the tea mixture is 25%, confirming that option 'C' is correct.
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Community Answer
A shopkeeper mixed two type of tea powders, type 1 and type 2, in the ...
Let the quantity of Type 1 = k and that of Type 2 = 2k
Let x be the cost price of the mixture,
k(12)+2k(18) = (2k+k)(x)
12k+36k = 3kx
48k = 3kx
16 = x
CP = 16/- and SP = 20/-
Profit = SP - CP = 20 - 16 = 4/-
Profit % = \frac{4}{16}\times 100 = 25164×100=25%
So the answer is option C.
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A shopkeeper mixed two type of tea powders, type 1 and type 2, in the ratio 1:2 and sold the mixture at 20/- per kg. Find the profit percentage, if the cost price of type 1 and type 2 powders are 12/- and 18/- per kg respectively ?a)15%b)20%c)25%d)30%Correct answer is option 'C'. Can you explain this answer?
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A shopkeeper mixed two type of tea powders, type 1 and type 2, in the ratio 1:2 and sold the mixture at 20/- per kg. Find the profit percentage, if the cost price of type 1 and type 2 powders are 12/- and 18/- per kg respectively ?a)15%b)20%c)25%d)30%Correct answer is option 'C'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about A shopkeeper mixed two type of tea powders, type 1 and type 2, in the ratio 1:2 and sold the mixture at 20/- per kg. Find the profit percentage, if the cost price of type 1 and type 2 powders are 12/- and 18/- per kg respectively ?a)15%b)20%c)25%d)30%Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A shopkeeper mixed two type of tea powders, type 1 and type 2, in the ratio 1:2 and sold the mixture at 20/- per kg. Find the profit percentage, if the cost price of type 1 and type 2 powders are 12/- and 18/- per kg respectively ?a)15%b)20%c)25%d)30%Correct answer is option 'C'. Can you explain this answer?.
A shopkeeper mixed two type of tea powders, type 1 and type 2, in the ratio 1:2 and sold the mixture at 20/- per kg. Find the profit percentage, if the cost price of type 1 and type 2 powders are 12/- and 18/- per kg respectively ?a)15%b)20%c)25%d)30%Correct answer is option 'C'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about A shopkeeper mixed two type of tea powders, type 1 and type 2, in the ratio 1:2 and sold the mixture at 20/- per kg. Find the profit percentage, if the cost price of type 1 and type 2 powders are 12/- and 18/- per kg respectively ?a)15%b)20%c)25%d)30%Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A shopkeeper mixed two type of tea powders, type 1 and type 2, in the ratio 1:2 and sold the mixture at 20/- per kg. Find the profit percentage, if the cost price of type 1 and type 2 powders are 12/- and 18/- per kg respectively ?a)15%b)20%c)25%d)30%Correct answer is option 'C'. Can you explain this answer?.
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A shopkeeper mixed two type of tea powders, type 1 and type 2, in the ratio 1:2 and sold the mixture at 20/- per kg. Find the profit percentage, if the cost price of type 1 and type 2 powders are 12/- and 18/- per kg respectively ?a)15%b)20%c)25%d)30%Correct answer is option 'C'. Can you explain this answer?, a detailed solution for A shopkeeper mixed two type of tea powders, type 1 and type 2, in the ratio 1:2 and sold the mixture at 20/- per kg. Find the profit percentage, if the cost price of type 1 and type 2 powders are 12/- and 18/- per kg respectively ?a)15%b)20%c)25%d)30%Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of A shopkeeper mixed two type of tea powders, type 1 and type 2, in the ratio 1:2 and sold the mixture at 20/- per kg. Find the profit percentage, if the cost price of type 1 and type 2 powders are 12/- and 18/- per kg respectively ?a)15%b)20%c)25%d)30%Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
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