Math, asked by 332004Hithaishini, 1 year ago

a man saves ₹3000 every year and invests it at the end of the year at 10% compound interest calculate the total amount of his savings at the end of third year

Answers

Answered by Swarup1998
34

Given: a man saves ₹3000 every year and invests it at the end of the year at 10% compound interest

To find: the total amount of his savings at the end of third year

Solution:

1st year:

  • The man saves ₹3000 at the end of the first year. This amount will be invested at a rate of 10% p.a. for compound interest.

2nd year:

  • Sum = ₹3000
  • Rate of compound interest = 10% p.a.
  • Amount after the 1st year is
  • = ₹3000 × (1 + 10/100)
  • = ₹3000 × 110/100
  • = 3300
  • Now ₹3000 is added with the above amount and thus total savings is
  • = ₹(3300 + 3000)
  • = 6300

3rd year:

  • Sum = ₹6300
  • Rate of compound interest = 10% p.a.
  • Amount after the 2nd year is
  • = ₹6300 × (1 + 10/100)
  • = ₹6300 × 110/100
  • = 6930
  • Now ₹3000 is added with the above amount and thus total savings is
  • = ₹(6930 + 3000)
  • = 9930

Answer: the total amount of his savings at the end of the third year is 9930.

Answered by sneha413639
27

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