Question

Ekta earns Rs. 3000 in 10 days. How much will she earn in 30 days?

Answer 1

Hint: Use the unitary method to solve this question. First, find the money that Ekta earns in 1 day and then multiply it with the days asked in the question to get the answer.

Complete step-by-step answer:
Here, we are given that Ekta earns Rs. 3000 in 10 days. We have to find the amount she would earn in 30 days. Before proceeding with this question, we must know what the unitary method is. The word unitary refers to a single or an individual unit. Hence, this method aims at determining the values concerning a single unit. For example, if a car runs 44 km on 2 liters of petrol then we can use the unitary method to find out the kilometers it will cover on 1 liter of petrol. In other words, 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 the value of a multiple.
Now, let us consider the information given in the question. We are given that in 10 days, the total amount Ekta earns = Rs. 3000.
Now, to get the amount earned by Ekta in one day, we will divide the total amount earned by her with the total number of days. So, we get,
Total amount earned by Ekta in one day \[=\dfrac{Rs.3000}{10}=Rs.300\].
Now, to get the amount she wound earned in ‘n’ days, we will multiply ‘n’ by the amount earned by her in 1 day. So, we get,
The total amount that she would earn in ‘n’ days = Rs. 300 n.
Now, to get the total amount Ekta would earn in 30 days, we substitute n = 30 in the above equation, so, we get,
The total amount that she would earn in 30 days = Rs. 300 x 30 = Rs. 9000.
So, Ekta would earn Rs.9000 in 30 days.

Note: Students must learn to use the unitary method properly as this method finds its practical application everywhere ranging from speed, distance, time to problems related to calculating the cost of materials. Also, learn to distinguish between the number of units and the value of units properly. Also, some students make this mistake of dividing 10 by 3000, instead of dividing 3000 by 10 to calculate the amount for 1 day. So, this must be taken care of.