Mohit and Sudesh bought pens and notebooks from the same shop. Mohit bought 3 pens and 6 notebooks by paying an amount of `180. Sudesh bought 5 pens and 2 notebooks by paying an amount of `116. How much did Mohit spend on buying notebooks?
Correct Answer :
₹138
Solution :
To find out how much Mohit spent on buying notebooks, we can set up a system of linear equations based on the information provided in the question.
Let the cost of one pen be rupees and the cost of one notebook be rupees.
From the problem statement:
1. Mohit bought 3 pens and 6 notebooks for ₹180:
(Equation 1)
2. Sudesh bought 5 pens and 2 notebooks for ₹116:
(Equation 2)
First, we can simplify Equation 1 by dividing the entire equation by 3:
From this, we can express in terms of :
(Equation 3)
Now, substitute the value of from Equation 3 into Equation 2:
So, the cost of one notebook is ₹23.
We are asked to find the total amount Mohit spent on notebooks. Mohit bought 6 notebooks.
Amount spent by Mohit on notebooks =
Amount spent by Mohit on notebooks =
Thus, Mohit spent ₹138 on buying notebooks.
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