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Ram spend rupees 2860 to buy coolers for Rs 80 each and ties at Rs 60 each what will be the ratio of maximum number of coolers to ties that are bought?
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Ram spend rupees 2860 to buy coolers for Rs 80 each and ties at Rs 60 ...
Understanding the Problem
Ram has a total budget of Rs 2860 to purchase coolers and ties. The coolers cost Rs 80 each, while the ties cost Rs 60 each. To find the ratio of the maximum number of coolers to ties that can be purchased, we need to analyze the spending.
Calculating Maximum Purchases
- Cost of Coolers: Rs 80 each
- Cost of Ties: Rs 60 each
Formulating the Equation
Let:
- x = number of coolers
- y = number of ties
The equation based on the total expenditure is:
80x + 60y = 2860
Maximizing Coolers
To find the maximum number of coolers (x), we can minimize the number of ties (y). Setting y to 0 gives:
80x = 2860
x = 2860 / 80
x = 35.75
Since x must be a whole number, Ram can buy a maximum of 35 coolers if no ties are purchased.
Maximizing Ties
Now, let's maximize the number of ties (y) by setting x to 0:
60y = 2860
y = 2860 / 60
y = 47.666
Again, since y must be a whole number, Ram can buy a maximum of 47 ties if no coolers are purchased.
Calculating the Ratio
Now, we calculate the ratio of coolers to ties:
- Maximum coolers = 35
- Maximum ties = 47
Final Ratio
The ratio of the maximum number of coolers to ties is:
35 : 47
This ratio gives a clear understanding of how many coolers can be bought compared to ties within the given budget.
Ram has a total budget of Rs 2860 to purchase coolers and ties. The coolers cost Rs 80 each, while the ties cost Rs 60 each. To find the ratio of the maximum number of coolers to ties that can be purchased, we need to analyze the spending.
Calculating Maximum Purchases
- Cost of Coolers: Rs 80 each
- Cost of Ties: Rs 60 each
Formulating the Equation
Let:
- x = number of coolers
- y = number of ties
The equation based on the total expenditure is:
80x + 60y = 2860
Maximizing Coolers
To find the maximum number of coolers (x), we can minimize the number of ties (y). Setting y to 0 gives:
80x = 2860
x = 2860 / 80
x = 35.75
Since x must be a whole number, Ram can buy a maximum of 35 coolers if no ties are purchased.
Maximizing Ties
Now, let's maximize the number of ties (y) by setting x to 0:
60y = 2860
y = 2860 / 60
y = 47.666
Again, since y must be a whole number, Ram can buy a maximum of 47 ties if no coolers are purchased.
Calculating the Ratio
Now, we calculate the ratio of coolers to ties:
- Maximum coolers = 35
- Maximum ties = 47
Final Ratio
The ratio of the maximum number of coolers to ties is:
35 : 47
This ratio gives a clear understanding of how many coolers can be bought compared to ties within the given budget.
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Ram spend rupees 2860 to buy coolers for Rs 80 each and ties at Rs 60 each what will be the ratio of maximum number of coolers to ties that are bought?
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Ram spend rupees 2860 to buy coolers for Rs 80 each and ties at Rs 60 each what will be the ratio of maximum number of coolers to ties that are bought? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Ram spend rupees 2860 to buy coolers for Rs 80 each and ties at Rs 60 each what will be the ratio of maximum number of coolers to ties that are bought? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Ram spend rupees 2860 to buy coolers for Rs 80 each and ties at Rs 60 each what will be the ratio of maximum number of coolers to ties that are bought?.
Ram spend rupees 2860 to buy coolers for Rs 80 each and ties at Rs 60 each what will be the ratio of maximum number of coolers to ties that are bought? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Ram spend rupees 2860 to buy coolers for Rs 80 each and ties at Rs 60 each what will be the ratio of maximum number of coolers to ties that are bought? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Ram spend rupees 2860 to buy coolers for Rs 80 each and ties at Rs 60 each what will be the ratio of maximum number of coolers to ties that are bought?.
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