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प्रश्न
The population of a town decreased by 12% during 1998 and then increased by 8% during 1999. Find the population of the town, at the beginning of 1998, if at the end of 1999 its population was 2,85,120.
उत्तर
Let the population in the beginning of 1998 = P
The population at the end of 1999 = 2,85,120(A)
r1 = - 12% and r2 = + 8%
∴ A = P`( 1 - r_1/100 )( 1 + r_2/100 )`
⇒ 2,85,120 = P`( 1 - 12/100 )( 1 + 8/100 )`
⇒ 2,85,120 = P`( 22/25 )( 27/25 )`
⇒ P = `[ 2,85,120 xx 25 xx 25 ]/[ 22 xx 27 ]` = 3,00,000.
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