Solution Suppose you have T12000 to invest. You have to invest some amount at 10% and the rest at 15%. How much should be invested at each rate to yield 12% on the total amount invested?
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Answer:
Let the time be 1 year.
For r=12%
A=P+(
100
P×r×t
)
A=12000+(
100
12000×12×1
)
⟹A=Rs.13,440
Let Rs.x be invested with 12% rate.
Then,
12000=[x+(
100
x×10×1
)]+[(12000−x)+(
100
(12000−x)×15×1
)]
Solving for x we get,
x=7,200
⟹12000−7200=4,800
Hence,Rs.7200 is invested at rate 10% and Rs.4,800 at rate 15%.
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