Question

The flight cost for four persons from Hyderabad to Delhi is $Rs.32444$ . What is the fare for $10$ people?

Answer 1

Hint: Use the unitary method to solve this problem. From the given fare of $4$ person, calculate the fare for $1$ person by dividing the given cost by $4$ . After getting the fare for $1$ person, multiply it by the factor of $10$ . This will give you the required fare.

Complete step-by-step answer:
In this problem, we are given the flight cost of four persons as $Rs.32444$ . And with this information, we need to find the fare for $10$ persons.
Before moving to the solution, let’s first get familiar with the unitary method that can be used to solve this problem. The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value. In essence, this method is used to find the value of a unit from the value of a multiple, and hence the value of a multiple.
So, according to this method, if we have to find the fare for $10$ persons then we need to first find the fare for $1$ person. Then multiply the cost with a factor of $10$ .
According to the question, fare for $4$ persons is $Rs.32444$
$ \Rightarrow $ The flight cost for $1$ person can be given by dividing the cost for $4$ person by a factor of $4$.
$ \Rightarrow $ The fare for $1$ person$ = \dfrac{{32444}}{4} = 8111$
Hence, we got the fare for $1$ person as $Rs.8111$ .
Therefore, the fare for $10$ persons$ = $ Fare for $1$ person $ \times 10$
$ \Rightarrow $ The fare for $10$ persons in a flight $ = 8111 \times 10 = 81110$
Thus, we got the fare for $10$ persons as $Rs.81110$ .

Note: Be careful while calculating the fare of one person. An alternative approach for this problem is to reduce $10$ in form of $4$ , i.e. $10 = \left( {4 \times 2} \right) + \left( {4 \times \dfrac{1}{2}} \right)$ . This implies the fare of $10$ person can be represented as the fare of $\left( {4 \times 2} \right) + \left( {4 \times \dfrac{1}{2}} \right)$ . So, for $10$ person’s fare, we can write it as: $\left( {32444 \times 2} \right) + \left( {32444 \times \dfrac{1}{2}} \right) = 64888 + 16222 = 81110$