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In a village, 30% of the villagers belong to upper economic class. The number of villagers who belong to middle economic class are 3/2 of t…

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In a village, 30% of the villagers belong to upper economic class. The number of villagers who belong to middle economic class are 3/2 of the number of villagers who belong to lower economic class. If 6860 villagers belong to lower economic class, what is the population of the village ?
  • A22600
  • B24500
  • C26000
  • D25500
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0
CCommunity
Solution
Let the total population of village = $100x$
Population of upper economic class = $\frac{30}{100} \times 100x = 30x$
Population of lower economic class = $6860$
Population of middle economic class = $\frac{3}{2} \times 6860 = 10,290$
=> Population of middle and lower economic class
= $100x - 30x = 6860 + 10290$
=> $70x = 17150$
=> $x = \frac{17150}{70} = 245$
$\therefore$ Total population = 100 * 245 = 24500
0
CCommunity
Solution
Let the total population of village = $100x$
Population of upper economic class = $\frac{30}{100} \times 100x = 30x$
Population of lower economic class = $6860$
Population of middle economic class = $\frac{3}{2} \times 6860 = 10,290$
=> Population of middle and lower economic class
= $100x - 30x = 6860 + 10290$
=> $70x = 17150$
=> $x = \frac{17150}{70} = 245$
$\therefore$ Total population = 100 * 245 = 24500