A man deposits rs 2000 in a bank at 4% per annum and rs 3000 in uti at 14% per annum. Find the rate of interes for the whole sum
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Rate of interest for given question is - 10% per annum
Simple interest is given by the formula
I = P*R*T/100
Where I denotes interest, P denotes principle, r refers to rate of interest and t defines time.
For the first bank-
I= 2000*4*1/100
I= 80 Rs.
For UTI -
I = 3000*14*1/100
I= 420 Rs.
Now, to calculate rate of interest on whole sum,
Whole interest he received = 80+420
I= 500 Rs.
Whole principle amount he invested = 2000+3000
= 5000 Rs.
Rate of interest on whole sum of money =
R= I*100/(P*T)
R= 500*100/(5000*1)
R= 10%
Hence, rate of interest on whole amount of Rs. 5000 is 10% per annum.
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