Question

Arjun has thrice as much money as Prateek, and Shubhendu has half as much as Arjun and Prateek put together. If Arjun has 120 rupees, then how much money do Prateek and Shubhendu have? [3 MARKS]

Answer 1

Framing the equation: 1 Mark
Steps: 1 Mark
Result: 1 Mark

Let Prateek have x rupees.

Then, Arjun will have = 3 times Prateek = 3x

Shubhendu has half as much as Prateek and Arjun put together

Or, Shubhendu has $\frac{x+3x}{2}=2x$

According to the question,

$3x=120$

Or, $x=40$

Arjun has 120 rupees, Prateek has 40 rupees and Shubhendu has 80 rupees.