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A person saved Rs. 16,500 in ten years. In each year after the first year he saved Rs. 100 more than he did in the preceding year. The amount of money he saved in the 1st year was
- a)Rs. 1000
- b)Rs. 1500
- c)Rs. 1200
- d)none of these
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
A person saved Rs. 16,500 in ten years. In each year after the first y...
Solution:
Let the amount saved in the first year be x.
Then, the amount saved in the second year = x + 100
the amount saved in the third year = x + 200
and so on.
The total amount saved in 10 years = Rs. 16,500.
Hence, we can form an equation as follows:
x + (x + 100) + (x + 200) + ... + (x + 900) = 16,500
Simplifying this equation, we get:
10x + (100 + 200 + ... + 900) = 16,500
10x + (10/2)(1000) = 16,500
10x + 5000 = 16,500
10x = 11,500
x = 1150
Therefore, the amount saved in the first year was Rs. 1150.
Let the amount saved in the first year be x.
Then, the amount saved in the second year = x + 100
the amount saved in the third year = x + 200
and so on.
The total amount saved in 10 years = Rs. 16,500.
Hence, we can form an equation as follows:
x + (x + 100) + (x + 200) + ... + (x + 900) = 16,500
Simplifying this equation, we get:
10x + (100 + 200 + ... + 900) = 16,500
10x + (10/2)(1000) = 16,500
10x + 5000 = 16,500
10x = 11,500
x = 1150
Therefore, the amount saved in the first year was Rs. 1150.
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Community Answer
A person saved Rs. 16,500 in ten years. In each year after the first y...
Sn = 16000 , n=10 , d=100
Sn = n/2{ 2a + (n-1)d}
16500=10/2 {2a + (10-1)100}
16500 =5{2a +900}
16500=10a + 4500
10a= 12000
a=12000/10
a=1200
Therefore amount saved in 1st year =Rs 1200
Sn = n/2{ 2a + (n-1)d}
16500=10/2 {2a + (10-1)100}
16500 =5{2a +900}
16500=10a + 4500
10a= 12000
a=12000/10
a=1200
Therefore amount saved in 1st year =Rs 1200
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A person saved Rs. 16,500 in ten years. In each year after the first year he saved Rs. 100 more than he did in the preceding year. The amount of money he saved in the 1st year wasa)Rs. 1000b)Rs. 1500c)Rs. 1200d)none of theseCorrect answer is option 'C'. Can you explain this answer?
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A person saved Rs. 16,500 in ten years. In each year after the first year he saved Rs. 100 more than he did in the preceding year. The amount of money he saved in the 1st year wasa)Rs. 1000b)Rs. 1500c)Rs. 1200d)none of theseCorrect answer is option 'C'. Can you explain this answer? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about A person saved Rs. 16,500 in ten years. In each year after the first year he saved Rs. 100 more than he did in the preceding year. The amount of money he saved in the 1st year wasa)Rs. 1000b)Rs. 1500c)Rs. 1200d)none of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A person saved Rs. 16,500 in ten years. In each year after the first year he saved Rs. 100 more than he did in the preceding year. The amount of money he saved in the 1st year wasa)Rs. 1000b)Rs. 1500c)Rs. 1200d)none of theseCorrect answer is option 'C'. Can you explain this answer?.
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