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This year the number of blood donners in a hospital is 24000. If the number of blood donners increases by 5% in every 6 months, then in how much time will the number of blood donners be 27783? |
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Answer» This year the number of blood donners is 24000. The number of blood donners increases by 5% in every 6 months, i.e. 10% in every year. Let the required time be `t` years to reach the number of blood donners form 24000 to 27783. As per question `24000xx(1+(10/2)/100)^(2t)=27783` `implies24000xx(1+1/20)^(2t)=27783` `implies((20+1)/20)^(2t)=27783/24000` `implies(21/20)^(2t)=27783/24000=9261/8000=(21/20)^(3)` `implies(21/20)^(2t)=(21/20)^(3)implies2t=3impliest=3/2=1 1/2` Hence after `1 1/2` years the number of blood donners will be 27783. |
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