Vijay invested certain amounts of money in two schemes A and B, which offer interest at the rate of 8% per annum and 9% per annum, respectively. He…

Let Vijay invested ₹ x at $\displaystyle 8$% rate of interest & ₹ y at $\displaystyle 9$% rate of interestATQ, \[\frac{8 \mathrm{x}}{100}+\frac{9 \mathrm{y}}{100}=1860 \] or \(\displaystyle 8 \mathrm{x}+9 \mathrm{y}=186000 \quad \ldots \ldots\) (i) \[\frac{9 \mathrm{x}}{100}+\frac{8 \mathrm{y}}{100}=1880 \] or \(\displaystyle 9 \mathrm{x}+8 \mathrm{y}=188000 \quad \ldots \ldots\) (ii)On solving (i) and (ii), we get \[\begin{aligned} & x=12000 \\ & y=10000 \end{aligned} \] Hence, money invested in scheme A is ₹ $\displaystyle 12000$ and scheme B is ₹ 10000.