Shikha deposited Rs 2000 in a bank that pays 6% simple interest. She withdraws 700 at the end of the first year. What will be her balance after 3 years?
Given:
Shikha deposited Rs. 2000 in a bank that pays 6% simple interest. She withdraws Rs. 700 at the end of the first year.
To find: Here we have to find her balance after 3 years.
Solution:
For 1st year :
Principal amount (P) = Rs. 2000
Rate (R) = 6%
Time (T) = 1 year
So,
Simple Interest (SI) = $\frac{P\ \times \ R\ \times \ T}{100}$
Simple Interest (SI) = $\frac{2000\ \times \ 6\ \times \ 1}{100}$
Simple Interest (SI) = Rs 120
Now,
Total amount after first year = Principle amount $+$ Interest $-$ Amount withdrawn by shikha
Total amount after first year = 2000 $+$ 120 $-$ 700
Total amount after first year = Rs. 1420
For next two years :
Principal amount (P) = Rs. 1420
Rate (R) = 6%
Time (T) = 2 years
So,
Simple Interest (SI) = $\frac{P\ \times \ R\ \times \ T}{100}$
Simple Interest (SI) = $\frac{1420\ \times \ 6\ \times \ 2}{100}$
Simple Interest (SI) = Rs 170.40
Now,
Total amount after three year = Principle amount $+$ Interest
Total amount after three year = 1420 $+$ 170.40
Total amount after three year = Rs. 1590.40
So, balance in Shikha's account after 3 years is Rs. 1590.40.
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