CAT 2025 Slot 3 QA Question 38: A shop wants to sell a certain quantity (in kg) of grains. It sells half the quantity and an additional 3 kg of these grains to the first customer. Then, it sells half of the remaining quantity and an

Question

A shop wants to sell a certain quantity (in kg) of grains. It sells half the quantity and an additional 3 kg of these grains to the first customer. Then, it sells half of the remaining quantity and an

Accepted Answer

Work backwards from the end.
Before the third customer, let the remaining quantity be $q_3$.
$\dfrac{q_3}{2} - 3 = 0$
$\Rightarrow q_3 = 6$
Before the second customer, let the remaining quantity be $q_2$.
$\dfrac{q_2}{2} - 3 = 6$
$\Rightarrow q_2 = 18$
Before the first customer, let the initial quan