Question Details

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?

Options

A

₹84

B

₹138

C

₹122

D

₹115

Show Answer

Correct Answer :

Option B

₹138

₹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 x rupees and the cost of one notebook be y rupees.

From the problem statement:
1. Mohit bought 3 pens and 6 notebooks for ₹180:
3x+6y=180 (Equation 1)
2. Sudesh bought 5 pens and 2 notebooks for ₹116:
5x+2y=116 (Equation 2)

First, we can simplify Equation 1 by dividing the entire equation by 3:
x+2y=60
From this, we can express x in terms of y:
x=60-2y (Equation 3)

Now, substitute the value of x from Equation 3 into Equation 2:
5(60-2y)+2y=116
300-10y+2y=116
300-8y=116
8y=300-116
8y=184
y=1848
y=23

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 = 6×y
Amount spent by Mohit on notebooks = 6×23=138

Thus, Mohit spent ₹138 on buying notebooks.

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