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
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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.
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