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How many kilograms of sugar costing Rs. 9 per kg must be mixed with 27 kg of sugar costing Rs. 7 per Kg so that there may be a gain of 10 % by selling the mixture at Rs. 9.24 per Kg ?
- a)60 Kg
- b)63 kg
- c)58 Kg
- d)56 Kg
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
How many kilograms of sugar costing Rs. 9 per kg must be mixed with 27...
C.P. of 1 kg sugar of 1st kind C.P. of 1 kg sugar of 2nd kind
Therefore, Ratio of quantities of 1st and 2nd kind = 14 : 6 = 7 : 3.
Let x kg of sugar of 1st kind be mixed with 27 kg of 2nd kind.
Then, 7 : 3 = x : 27 or x = (7 x 27 / 3) = 63 kg.
Most Upvoted Answer
How many kilograms of sugar costing Rs. 9 per kg must be mixed with 27...
Profit per kg = 9.24 ×1/11=0.84....... Cost of sugar per kg = 9.24 - 0.84 =8.4......... Let's x amount of sugar costing 9 rs. Per kg will be added...... Cost per kg = total cost ÷ total quantity........Then, (7×27 + 9x) ÷ (27 + x) = 8.4........ => 7×27 + 9x = 8.4x + 8.4 × 27........=> 0.6x = 27 (8.4 - 7)..........=> x = 27×14 ÷ 6.........=> x =9×7 = 63
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Community Answer
How many kilograms of sugar costing Rs. 9 per kg must be mixed with 27...
Given:
Cost of sugar A = Rs. 9/kg
Cost of sugar B = Rs. 7/kg
Selling price of mixture = Rs. 9.24/kg
Profit percentage = 10%
To find:
How many kilograms of sugar A must be mixed with sugar B so that there is a gain of 10% by selling the mixture at Rs. 9.24/kg.
Solution:
Let the quantity of sugar A be x kg.
Quantity of sugar B = 27 kg (Given)
Total quantity of mixture = x + 27 kg
Cost price of sugar A = Rs. 9/kg
Cost price of sugar B = Rs. 7/kg
Cost price of x kg of sugar A = Rs. 9x
Cost price of 27 kg of sugar B = Rs. 7 × 27 = Rs. 189
Total cost price of mixture = 9x + 189
Selling price of mixture = Rs. 9.24/kg
Profit percentage = 10%
Profit = Selling price - Cost price
Profit percentage = (Profit/Cost price) × 100
Profit percentage = ((9.24 - (9x + 189))/(9x + 189)) × 100
10% = ((9.24 - (9x + 189))/(9x + 189)) × 100
1 = ((9.24 - (9x + 189))/(9x + 189))
9x + 189 = 8.24x + 7.416
0.76x = 181.584
x = 239 kg
Therefore, 239 kg of sugar A must be mixed with 27 kg of sugar B to get a mixture that can be sold at Rs. 9.24/kg with a gain of 10%.
Cost of sugar A = Rs. 9/kg
Cost of sugar B = Rs. 7/kg
Selling price of mixture = Rs. 9.24/kg
Profit percentage = 10%
To find:
How many kilograms of sugar A must be mixed with sugar B so that there is a gain of 10% by selling the mixture at Rs. 9.24/kg.
Solution:
Let the quantity of sugar A be x kg.
Quantity of sugar B = 27 kg (Given)
Total quantity of mixture = x + 27 kg
Cost price of sugar A = Rs. 9/kg
Cost price of sugar B = Rs. 7/kg
Cost price of x kg of sugar A = Rs. 9x
Cost price of 27 kg of sugar B = Rs. 7 × 27 = Rs. 189
Total cost price of mixture = 9x + 189
Selling price of mixture = Rs. 9.24/kg
Profit percentage = 10%
Profit = Selling price - Cost price
Profit percentage = (Profit/Cost price) × 100
Profit percentage = ((9.24 - (9x + 189))/(9x + 189)) × 100
10% = ((9.24 - (9x + 189))/(9x + 189)) × 100
1 = ((9.24 - (9x + 189))/(9x + 189))
9x + 189 = 8.24x + 7.416
0.76x = 181.584
x = 239 kg
Therefore, 239 kg of sugar A must be mixed with 27 kg of sugar B to get a mixture that can be sold at Rs. 9.24/kg with a gain of 10%.
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How many kilograms of sugar costing Rs. 9 per kg must be mixed with 27 kg of sugar costing Rs. 7 per Kg so that there may be a gain of 10 % by selling the mixture at Rs. 9.24 per Kg ?
a)60 Kgb)63 kgc)58 Kgd)56 KgCorrect answer is option 'B'. Can you explain this answer?
Question Description
How many kilograms of sugar costing Rs. 9 per kg must be mixed with 27 kg of sugar costing Rs. 7 per Kg so that there may be a gain of 10 % by selling the mixture at Rs. 9.24 per Kg ? a)60 Kgb)63 kgc)58 Kgd)56 KgCorrect answer is option 'B'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about How many kilograms of sugar costing Rs. 9 per kg must be mixed with 27 kg of sugar costing Rs. 7 per Kg so that there may be a gain of 10 % by selling the mixture at Rs. 9.24 per Kg ? a)60 Kgb)63 kgc)58 Kgd)56 KgCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for How many kilograms of sugar costing Rs. 9 per kg must be mixed with 27 kg of sugar costing Rs. 7 per Kg so that there may be a gain of 10 % by selling the mixture at Rs. 9.24 per Kg ? a)60 Kgb)63 kgc)58 Kgd)56 KgCorrect answer is option 'B'. Can you explain this answer?.
How many kilograms of sugar costing Rs. 9 per kg must be mixed with 27 kg of sugar costing Rs. 7 per Kg so that there may be a gain of 10 % by selling the mixture at Rs. 9.24 per Kg ? a)60 Kgb)63 kgc)58 Kgd)56 KgCorrect answer is option 'B'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about How many kilograms of sugar costing Rs. 9 per kg must be mixed with 27 kg of sugar costing Rs. 7 per Kg so that there may be a gain of 10 % by selling the mixture at Rs. 9.24 per Kg ? a)60 Kgb)63 kgc)58 Kgd)56 KgCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for How many kilograms of sugar costing Rs. 9 per kg must be mixed with 27 kg of sugar costing Rs. 7 per Kg so that there may be a gain of 10 % by selling the mixture at Rs. 9.24 per Kg ? a)60 Kgb)63 kgc)58 Kgd)56 KgCorrect answer is option 'B'. Can you explain this answer?.
Solutions for How many kilograms of sugar costing Rs. 9 per kg must be mixed with 27 kg of sugar costing Rs. 7 per Kg so that there may be a gain of 10 % by selling the mixture at Rs. 9.24 per Kg ?
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