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The value of a machine depreciates every year at the rate of 10% on its value at the beginning of the year. If the current value of the machine is Rs.729, its worth 3 years ago was.
- a)Rs. 1000
- b)Rs. 750.87
- c)Rs. 947.10
- d)Rs. 800
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
The value of a machine depreciates every year at the rate of 10% on it...
Let, x be the value of the machine 3 years ago
Since, the value of machine depreciates at the rate 10% every year
∴ its value after 1 year
Its value after 2 years
Its value after 3 years
According to the question,
0.729x = 729
x = 729/0.729 = 1000
Alternate:-
As we know that, if the value of machine depreciates by R% every year, then the value of machine after ‘t’ years will be:-
Here, P’ = future value of machine
P = current value.
Here it is given that, current value is Rs. 729 and we will have to find out the value 3 years ago.
So, here P’ = 729 and P = ?, R = 10%
⇒ P = 1000
Since, the value of machine depreciates at the rate 10% every year
∴ its value after 1 year
Its value after 2 years
Its value after 3 years
According to the question,
0.729x = 729
x = 729/0.729 = 1000
Alternate:-
As we know that, if the value of machine depreciates by R% every year, then the value of machine after ‘t’ years will be:-
Here, P’ = future value of machine
P = current value.
Here it is given that, current value is Rs. 729 and we will have to find out the value 3 years ago.
So, here P’ = 729 and P = ?, R = 10%
⇒ P = 1000
Most Upvoted Answer
The value of a machine depreciates every year at the rate of 10% on it...
Depreciation Rate:
The given problem states that the machine depreciates every year at the rate of 10% on its value at the beginning of the year. This means that every year, the machine's value decreases by 10% of its value at the start of the year.
Current Value:
According to the problem, the current value of the machine is Rs.729. This means that the machine is currently worth Rs.729.
Calculating the Value 3 Years Ago:
To calculate the value of the machine 3 years ago, we need to find the original value of the machine and then calculate its depreciated value after 3 years.
Let's assume:
Let's assume the original value of the machine 3 years ago was x.
Year 1:
In the first year, the machine's value decreases by 10% of its original value:
Value after 1 year = x - 0.10x = 0.90x
Year 2:
In the second year, the machine's value decreases by 10% of its value at the start of the year (0.90x):
Value after 2 years = 0.90x - 0.10(0.90x) = 0.90x - 0.09x = 0.81x
Year 3:
In the third year, the machine's value decreases by 10% of its value at the start of the year (0.81x):
Value after 3 years = 0.81x - 0.10(0.81x) = 0.81x - 0.081x = 0.729x
Given Information:
According to the problem, the current value of the machine is Rs.729. This means that the value after 3 years (0.729x) is equal to Rs.729.
Solving for x:
0.729x = 729
To solve for x, we divide both sides of the equation by 0.729:
x = 729/0.729 = 1000
Conclusion:
Therefore, the original value of the machine 3 years ago was Rs.1000. Thus, the correct answer is option 'A'.
The given problem states that the machine depreciates every year at the rate of 10% on its value at the beginning of the year. This means that every year, the machine's value decreases by 10% of its value at the start of the year.
Current Value:
According to the problem, the current value of the machine is Rs.729. This means that the machine is currently worth Rs.729.
Calculating the Value 3 Years Ago:
To calculate the value of the machine 3 years ago, we need to find the original value of the machine and then calculate its depreciated value after 3 years.
Let's assume:
Let's assume the original value of the machine 3 years ago was x.
Year 1:
In the first year, the machine's value decreases by 10% of its original value:
Value after 1 year = x - 0.10x = 0.90x
Year 2:
In the second year, the machine's value decreases by 10% of its value at the start of the year (0.90x):
Value after 2 years = 0.90x - 0.10(0.90x) = 0.90x - 0.09x = 0.81x
Year 3:
In the third year, the machine's value decreases by 10% of its value at the start of the year (0.81x):
Value after 3 years = 0.81x - 0.10(0.81x) = 0.81x - 0.081x = 0.729x
Given Information:
According to the problem, the current value of the machine is Rs.729. This means that the value after 3 years (0.729x) is equal to Rs.729.
Solving for x:
0.729x = 729
To solve for x, we divide both sides of the equation by 0.729:
x = 729/0.729 = 1000
Conclusion:
Therefore, the original value of the machine 3 years ago was Rs.1000. Thus, the correct answer is option 'A'.
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The value of a machine depreciates every year at the rate of 10% on its value at the beginning of the year. If the current value of the machine is Rs.729, its worth 3 years ago was.a)Rs. 1000b)Rs. 750.87c)Rs. 947.10d)Rs. 800Correct answer is option 'A'. Can you explain this answer?
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The value of a machine depreciates every year at the rate of 10% on its value at the beginning of the year. If the current value of the machine is Rs.729, its worth 3 years ago was.a)Rs. 1000b)Rs. 750.87c)Rs. 947.10d)Rs. 800Correct answer is option 'A'. 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 The value of a machine depreciates every year at the rate of 10% on its value at the beginning of the year. If the current value of the machine is Rs.729, its worth 3 years ago was.a)Rs. 1000b)Rs. 750.87c)Rs. 947.10d)Rs. 800Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The value of a machine depreciates every year at the rate of 10% on its value at the beginning of the year. If the current value of the machine is Rs.729, its worth 3 years ago was.a)Rs. 1000b)Rs. 750.87c)Rs. 947.10d)Rs. 800Correct answer is option 'A'. Can you explain this answer?.
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