SSC CGL 2022 PYQ — Question 87

SSC CGL - 11 April 2022 - Shift 1 • Reasoning • Q87

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?

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. Rs 138.

Let the cost of one pen = Rs x

And the cost of one notebook = Rs y

According to the question;

1. 3x + 6y = 180

⇒ y = (180 - 3x) / 6

2. 5x + 2y = 116

⇒ 5x +2((180 - 3x) / 6) = 116

Solving these two linear equations;

x =  14 and y = 23

So, cost of one pen  = Rs. 14.

Cost of one notebook = Rs. 23

Mohint spent 6y = 6(23) = 138 rupees