A man invested $$\frac{1}{3}$$ of his capital at 7%, 1/4 at 8% and the rest at 10% thereby getting an annual income of Rs.561. What was his capital?
let total capital be x
$$ \frac{\frac{x}{3} \times 7 \times 1}{100} + \frac{\frac{x}{4} \times 8 \times 1}{100} + \frac{ ( 1 -\frac{1}{3} - \frac{1}{4} )x \times 10 \times 1 }{100} = 561 $$
$$ \frac{7x}{300} + \frac{2x}{100} + \frac{5 \times x \times 10}{12 \times 100} = 561 $$
solving x = 6600
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