A pupil spent 1/6 of the pocket money on soda and 1/4 of the remainder on transport and was left with sh.36000. How much money did the pupil have at first?

Answer 1

Let's represent the amount of money the pupil had at first as "x".

The pupil spent 1/6 of the pocket money on soda, so the remaining amount of money is 5/6 * x.
The pupil then spent 1/4 of the remaining money on transport, leaving them with 3/4 * (5/6 * x) = 3/4 * 5/6 * x = 5/8 * x = sh.36000.

To find the value of "x", we can solve the equation:
5/8 * x = sh.36000.

To isolate "x", we can multiply both sides of the equation by 8/5:
(8/5) * (5/8 * x) = (8/5) * (sh.36000).
x = (8/5) * (sh.36000).

Simplifying:
x = (8 * 36000) / 5.
x = 288000 / 5.
x = sh.57600.

Therefore, the pupil had sh.57600 at first.