Question

Students want to gift a PA system worth Rs. 4200. If teachers offer to pay 50% more than the students, and a benefactor gives 3 times the teachers’ contribution, how much should the teachers donate?

• A. 600
• B. 840
• C. 900
• D. 1200

Hint:

Assign base value to one party and scale up using ratios. Sum up to find total and back-calculate shares.

Answer 1

The Correct Option is C

Let student contribution = $x$ Then teacher = $1.5x$ Benefactor = $3 \cdot 1.5x = 4.5x$ \[ \text{Total} = x + 1.5x + 4.5x = 7x \Rightarrow 7x = 4200 \Rightarrow x = 600 \Rightarrow \text{Teachers' share} = 1.5x = \boxed{900} \]