Question

If the number of workers employed to construct the Taj Mahal were $20,000$ and the ratio of \[Turks: Persians: Indians\] was $1:2:17$, find the number of Indians, Turks, and Persians.

Answer 1

Hint: A ratio is nothing but the quantitative relation between two numbers that shows how one number is compared with another. The relation can be between more than two numbers with a condition that they must have the same unit. Generally, we use the symbol”:” to denote a ratio.
In our questions, three quantities are compared in the given ratio. That is the ratio of \[Turks:Persians:Indians\] was $1:2:17$, and the total number of workers employed to construct the Taj Mahal was $20,000$. We are asked to calculate the number of Indians, Turks, and Persians.

Complete step-by-step solution:
It is given that total numbers of workers employed were $20,000$.
Let the number of workers be $x$.
The given ratio is, \[Turks:Persians:Indians\] was $1:2:17$.
Hence, we get,
\[Turks:Persians:Indians = x:2x:17x\]
Hence, the total number of workers \[ = x + 2x + 17x\]
$ = 20x$
Since it is given that total numbers of workers employed were$20,000$, we shall compare it with the above value.
That is $20,000 = 20x$.
$ \Rightarrow x = \dfrac{{20000}}{{20}}$
$ \Rightarrow x = 1000$
Since we have\[Turks:Persians:Indians = x:2x:17x\], we need to substitute the value of$x$.
As Turks $ = x$, we get the number of Turks $ = 1000$ workers.
As Persians $ = 2x$, we get the number of Persians $ = 2 \times 1000$
$ = 2000$ workers
As Indians $ = 17x$, we get the number of Indians $ = 17 \times 1000$
$ = 17,000$ workers
Therefore, there were $1000$Turks, $2000$ Persians, and $17,000$ Indians employed to construct the Taj Mahal.

Note: A ratio is an expression that is used to compare the size of two things or more than two things. The relation can be between more than two numbers with a condition that they must have the same unit. Generally, we use the symbol”:” to denote a ratio.