Bhagwanti inherited rs 12000. She invested part of it as 10% and the rest at 12%. Her annual income from these investments is rs 1280. How much did she invest at each rate?
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Let Rs.x was invested @10% and Rs.(12000−x) was invested @12%.
So by the problem
x×10%+(12000−x)×12%=1280
⇒12000×12%−x×2%=1280
⇒12000×12−x×2=128000
⇒2x=144000−128000=16000
⇒x=8000
So Rs.8000 was invested @10% and Rs.(12000−8000)=Rs.4000 was invested @12%.
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