Compound Proportion among three quantities Labourers, Time, and Earning (WP No.4: Compound Proportion)

If 15 laboures earn Rs. 67,500 in 9 days, how much money will 10 laboures earn in 12 days?

Solution: 

We see that as the number of labourers decrease, the amount of earning will also decrease. It is a direct proportion.
As the working days increase, the amount of earning will also increase. It is also a direct proportion.
Let the earning amount be ｘ Rs.

Here the equation will be 

`\frac{ｘ}{67,500}`  = `\frac{12}{9}` ｘ `\frac{12}{15}` 

Or

ｘ = `\frac{12}{9}` ｘ `\frac{12}{15}`  ｘ 67,500 Rs.

by simplifying we get

ｘ =  72,000 Rs.

Thus, Rs. 72,000 will be earned

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