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a man saves rs 16500 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 first year was
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a man saves rs 16500 in ten years. In each year after the first year h...
Solution:

Given:

A man saves Rs. 16500 in ten years. In each year after the first year, he saved Rs. 100 more than he did in the preceding year.


To find:

The amount of money he saved in the first year.


Solution Steps:


  1. Let the amount of money saved in the first year be x.

  2. Then, the amount of money saved in the second year will be (x + 100).

  3. Similarly, the amount of money saved in the third year will be (x + 200) and so on.

  4. Therefore, the total amount of money saved in ten years can be expressed as:


    • x + (x + 100) + (x + 200) + ... + (x + 900) = 16500


  5. Simplifying the above expression, we get:


    • 10x + 4500 = 16500

    • 10x = 12000

    • x = 1200




Answer:

The amount of money saved in the first year was Rs. 1200.
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a man saves rs 16500 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 first year was
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