a) Rs. 400
b) Rs. 500
c) Rs. 700
d) Rs. 800
Answer: b
Explanation: Let the amount invested at 12% be Rs. x and that invested at 10% be Rs. y
$$\eqalign{
& 12\% \,{\text{of }}x + 10\% \,{\text{of }}y = 130 \cr
& 12x + 10y = 13000 \cr
& 6x + 5y = 6500….{\text{(i)}} \cr
& {\text{And,}} \cr
& 10\% \,{\text{of }}x + 12\% \,{\text{of }}y = 134 \cr
& 10x + 12y = 13400 \cr
& 5x + 6y = 6700….{\text{(ii)}} \cr
& {\text{Adding (i) and (ii), }} \cr
& 11\left( {x + y} \right) = 13200 \cr
& x + y = 1200…..({\text{iii}}) \cr
& {\text{Subtracting (i) from (ii),}} \cr
& – x + y = 200…..({\text{iv}}) \cr
& {\text{Adding (iii) and (iv), }} \cr
& 2y = 1400\,or\,y = 700 \cr
& {\text{Amount invested at 12%}} \cr
& = \left( {1200 – 700} \right) \cr
& = {\text{Rs}}{\text{. 500}} \cr} $$
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