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Question
In the year 2001, the number of malaria patients admitted in the hospitals of a state was 4,375. Every year this number decreases by 8%. Find the number of patients in 2003.
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Solution
The number of malaria patients admitted in a hospital in 2001 = 4375
Rate of decrement of malaria patients = 8%
Time period = 2 yr i.e.2003 – 2001 = 2 yr
Let the number of patients in 2003 be A.
By using formula,
`A = P(1 - R/100)^T`
= `4375(1 - 8/100)^2`
= `4375 xx 23/25 xx 23/25`
= 7 × 23 × 23
= 3703
Hence, the number of patients in 2003 was 3703.
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