If the sugar price is increased by 25% by how much percent consumption should be reduced that expense remains same.

20%

Note: Price × Consumption = Expenditure.

When expenditure remains same then Price ∝ \(\frac{1}{consumption}\)

Now, according to question

25% = \(\frac{1}{4}\)

If Price ratio becomes ⇒ 4 : 5, then

Consumption should be ⇒ 5 : 4

Consumption decreased by = 1R

Decreased percentage = \(\frac{1}{5}\) × 100% = 20%