How many Samosas?

• Let the number of Samosas made by Mrs. Tihari equal $x$ .
• Then, Rohan ate $\dfrac{1}{4}x$
• Mohan ate $\dfrac{1}{4}$ th of what was left $\big(\dfrac{3}{4}x\big)$ + 1

$\begin{aligned} \text{Rohan}_{\text{Samosas}} &= \text{Mohan}_{\text{Samosas}} \\ \\ \dfrac{1}{4}x &= \dfrac{1}{4} \big(\dfrac{3}{4}x\big) + 1 \\ 4x &= 3x + 16 \quad \color{#3D99F6} \text{After }\times 16 \\ x &= \boxed{16} \end{aligned}$

Let's represent the amount of samosas in the beginning as s.

Amount of samosas Rohan took = ¼ s Amount of samosas Mohan took =( (¾•¼) s) + 1

Therefore , ¼ s = (3/16 s ) + 1

¼ s + 1 = 3/16 s

1 = (1/4 - 3/16 )s

1 = 1/16 s

s = 16