Question

A man deposit Rs. 5600 in a bank at 15/4 % annual interest. After 6 months he withdraws Rs. 3200 after 12 months, he withdraws the remaining amount. How much does he get?

Answer 1

Answer :

A man deposit Rs 5600 in bank
interest rate = $\frac{15}{4}$% per annum
We know
Simple interest = $\frac{P\times r\times t}{100}$ , Here P = principle amount , r = Rate of interest and t time ( in years )

And after 6 month he have total money in his account = 5600 + interest money for 6 month

interest money for 6 month = $\frac{5600\times {\displaystyle \frac{15}{4}}\times {\displaystyle \frac{6}{12}}}{100}=\frac{5600\times {\displaystyle \frac{15}{4}}\times {\displaystyle \frac{1}{2}}}{100}=\frac{5600\times 15}{100\times 4\times 2}=\frac{84000}{800}$ = 105
So,
in his account total money after six month = 5600 + 105 = 5705

Now he withdraw 3200 from it , So remaining amount in his account = 5705 - 3200 = 2505

And he withdraw remaining amount after 12 months , So he with draw after 6 month ( after he withdraw 3200 )

So , interest money for 6 month = $\frac{2505\times {\displaystyle \frac{15}{4}}\times {\displaystyle \frac{6}{12}}}{100}=\frac{2505\times {\displaystyle \frac{15}{4}}\times {\displaystyle \frac{1}{2}}}{100}=\frac{2505\times 15}{100\times 4\times 2}=\frac{37575}{800}$ = 46.97 = 47 ( nearly )

So,
he get total amount at that time = 2505 + 47 = Rs. 2552 ( Ans )