[ Problems on percentages and ratios ]

Little Man and Karlson together ate a jar of jam. In this case, Karlson ate $40 \%$ fewer spoons of jam than Little Man, but on the other hand, his spoon held $150 \%$ more jam than Little Man's spoon. What part of the jar of jam did Karlson eat?
The capacity of Karlson's spoon is $250 \%$, that is, 2.5 spoons of Little Man. The number of spoons eaten by Karlson is $3 / 5$ of the number of spoons eaten by Little Man. Therefore, Karlson ate jam $2.5 \cdot 3 / 5 = 1.5$ times more than Little Man, meaning the jar of jam was divided between them in the ratio $3: 2$ in favor of Karlson. Thus, Karlson ate $3 / 5$ of the jar of jam.

![](https://cdn.mathpix.com/cropped/2024_05_06_1aa9346639cd54e59f2ag-02.jpg?height=20&width=329&top_left_y=2904&top_left_x=197)

## Problem