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The cost of 5kg sugar and 1kg tea is rs 90.Sugar was sold at the gain of 25% and tea at the gain of 20% so as in gain rs 20 on the whole find the cost of 1kg sugar?
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The cost of 5kg sugar and 1kg tea is rs 90.Sugar was sold at the gain ...
Given:
To find: Cost of 1kg sugar
Solution:
Let the cost of 1kg sugar be x.
Cost of 5kg sugar = 5x
Cost of 1kg tea = y
Total cost = 5x + y = Rs 90
Selling price of 5kg sugar = 5x + (25/100)*5x = 6.25x
Selling price of 1kg tea = y + (20/100)*y = 1.2y
Total selling price = 6.25x + 1.2y
Profit = Total selling price - Total cost
Profit = (6.25x + 1.2y) - (5x + y)
Profit = 1.25x + 0.2y
Given that profit = Rs 20
1.25x + 0.2y = 20
Substituting y = 90 - 5x in the above equation, we get:
1.25x + 0.2(90 - 5x) = 20
1.25x + 18 - x = 20
0.25x = 2
x = 8
Therefore, the cost of 1kg sugar is Rs 8.
Conclusion:
The cost of 1kg sugar is Rs 8.
- Cost of 5kg sugar + 1kg tea = Rs 90
- Sugar sold at 25% gain
- Tea sold at 20% gain
- Total gain = Rs 20
To find: Cost of 1kg sugar
Solution:
Let the cost of 1kg sugar be x.
Cost of 5kg sugar = 5x
Cost of 1kg tea = y
Total cost = 5x + y = Rs 90
Selling price of 5kg sugar = 5x + (25/100)*5x = 6.25x
Selling price of 1kg tea = y + (20/100)*y = 1.2y
Total selling price = 6.25x + 1.2y
Profit = Total selling price - Total cost
Profit = (6.25x + 1.2y) - (5x + y)
Profit = 1.25x + 0.2y
Given that profit = Rs 20
1.25x + 0.2y = 20
Substituting y = 90 - 5x in the above equation, we get:
1.25x + 0.2(90 - 5x) = 20
1.25x + 18 - x = 20
0.25x = 2
x = 8
Therefore, the cost of 1kg sugar is Rs 8.
Conclusion:
The cost of 1kg sugar is Rs 8.
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The cost of 5kg sugar and 1kg tea is rs 90.Sugar was sold at the gain of 25% and tea at the gain of 20% so as in gain rs 20 on the whole find the cost of 1kg sugar?
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The cost of 5kg sugar and 1kg tea is rs 90.Sugar was sold at the gain of 25% and tea at the gain of 20% so as in gain rs 20 on the whole find the cost of 1kg sugar? for Commerce 2024 is part of Commerce preparation. The Question and answers have been prepared according to the Commerce exam syllabus. Information about The cost of 5kg sugar and 1kg tea is rs 90.Sugar was sold at the gain of 25% and tea at the gain of 20% so as in gain rs 20 on the whole find the cost of 1kg sugar? covers all topics & solutions for Commerce 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The cost of 5kg sugar and 1kg tea is rs 90.Sugar was sold at the gain of 25% and tea at the gain of 20% so as in gain rs 20 on the whole find the cost of 1kg sugar?.
The cost of 5kg sugar and 1kg tea is rs 90.Sugar was sold at the gain of 25% and tea at the gain of 20% so as in gain rs 20 on the whole find the cost of 1kg sugar? for Commerce 2024 is part of Commerce preparation. The Question and answers have been prepared according to the Commerce exam syllabus. Information about The cost of 5kg sugar and 1kg tea is rs 90.Sugar was sold at the gain of 25% and tea at the gain of 20% so as in gain rs 20 on the whole find the cost of 1kg sugar? covers all topics & solutions for Commerce 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The cost of 5kg sugar and 1kg tea is rs 90.Sugar was sold at the gain of 25% and tea at the gain of 20% so as in gain rs 20 on the whole find the cost of 1kg sugar?.
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