Compound Proportion among three quantities Luggage, Distance, and Fare (WP No.6: Compound Proportion)

If the fare of 12 quintal luggage for a distance of 18 km is 12 rupees, how much fare will be charged for a luggage of 9 quintals for a distance of 20 km?

Solution: 

As the quintal luggage decrease, the fare will decrease. so, It is a direct proportion. 

As the distance increase, the fare will also increases. It is also a direct proportion. 

Let the numbers of men be ｘ then,

Here the equation will be 

`\frac{ｘ}{12}`  = `\frac{9}{12}` ｘ `\frac{20}{18}` 

Or

ｘ = `\frac{9}{12}` ｘ `\frac{20}{18}`    ｘ 12 Rs.

by simplifying we get

ｘ =  10 Rs.

Thus, Rs. 10 fare will be charged.

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