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Question

Mathematics Question on SI & CI

A man received Rs. 12000 as Puja Bonus. He invested a part of it at 5%\% per annum and the remaining at 6%\% per annum, simple interest being allowed in each case. The total interest earned by him in 4 years is Rs. 2580. The sum invested at 5%\% per annum is

A

Rs. 4500

B

Rs. 4000

C

Rs. 7500

D

Rs. 8000

Answer

Rs. 7500

Explanation

Solution

Let the sum invested on 5%5\% per annum be xx

So, S.I. =prt100=\frac{prt}{100} [S.I. Simple Interest]

x×5×4100+(12000x)×4×6100=2580x\times5\times\frac{4}{100}+(12000-x)\times4\times\frac{6}{100}=2580

After Solving the equation, the value of xx
x=x= Rs.Rs. 75007500
The correct option is (C)