A sum of Rs 10 200 is invested partly at 8 per annum and remaining at 6 per annum for 3 years at sim...........

Quantitative Aptitude (CPO) Simple Interest

A sum of Rs 10,200 is invested partly at 8% per annum and remaining at 6% per annum for 3 years at simple interest. If the total interest is Rs 2,124, how much money was invested at 6% per annum?

This questions was previously asked in

SSC CPO 13th-March-2019-Shift-2

View All SSCCPO Previous Year Papers

Rs 4,800

Rs 4,900

Rs 5,200

Rs 5,400

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Explanation:

Current Option is 4- Rs 5,400
Total sum, A = Rs 10,200
Rate, R1 = 8% pa
Rate R2 = 6% pa
Time, T = 3 years
Total interest obtained = Rs 2,124
Concept used:
Simple interest, SI = PRT/100
Amount, A = Principal, P + SI
Calculation:
Let the Rs. x invested at 6% per annum.
Money invested at 8% per annum = Rs. (10,200 - x)
Simple interest in 3 years = Rs. 2,124
Simple interest in 1 years = 2,124/3 = Rs. 708
According to the question
x x 6/100 + (10,200 - x) x 8/100 = 708
6x+81600 - 8x = 708 x 100
8x-6x=81600-70800 = 10,800
x = 5400
--Amount invested at 6% pa is Rs 5400.